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Linear Equation Solver

Solve ax + b = 0 with full edge cases.

Best for: Use it to solve for an unknown in algebra, physics or everyday word problems.

Complete guide

Input

How it's calculated & sources
The Linear Equation Solver uses the standard, deterministic formula, so the same inputs always produce the same result. It runs entirely in your browser, so your inputs are never uploaded. Last reviewed June 2026.

Free & no sign-up · runs entirely in your browser. Results are estimates for general information, not professional advice — verify important decisions with a qualified expert. Last reviewed June 2026.

How it works

For ax + b = 0, x = −b / a (a ≠ 0).

Example

2x + 6 = 0 → x = −3

Frequently asked questions

What if a = 0?+

If a = 0 and b = 0 the equation is true for all x. If a = 0 and b ≠ 0 there is no solution.

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Where people usually head next.

Complete guide

Quick answers

Short, sourced answers to the questions people (and AI assistants) ask most.

What is Linear Equation Solver?
A linear equation solver finds the unknown in a first-degree equation of the form ax + b = c.
Why does Linear Equation Solver matter?
The single value of x that makes the equation true. If a = 0 there is either no solution or infinitely many.
How is Linear Equation Solver calculated?
It rearranges the equation to isolate x, subtracting b then dividing by a. Formula: ax + b = c -> x = (c - b) / a.
What are common linear equation solver mistakes?
Dividing by a when a = 0.
When should you use the Linear Equation Solver?
Use it to solve for an unknown in algebra, physics or everyday word problems.

What is the Linear Equation Solver?

A linear equation solver finds the unknown in a first-degree equation of the form ax + b = c.

How the Linear Equation Solver works

It rearranges the equation to isolate x, subtracting b then dividing by a.

ax + b = c -> x = (c - b) / a

Common mistakes to avoid

  • Dividing by a when a = 0.
  • Sign errors when moving terms across the equals sign.
  • Confusing the coefficient a with the constant b.

Keywords: linear, equation.

Reviewed by the Free Tools Galaxy editorial team · Updated June 2026 · Calculated privately in your browser.

Frequently asked questions

Is the Linear Equation Solver free to use?+

Yes. Every tool on Free Tools Galaxy is 100% free, runs in your browser and requires no signup.

How accurate is the Linear Equation Solver?+

Linear Equation Solver uses the standard linear equation solver formula in double-precision arithmetic, so the same inputs always produce the same result and you can verify any figure by hand. It is an educational estimate — real-world outcomes depend on your actual rates, rules and assumptions.

Do you store my inputs?+

No. The Linear Equation Solver runs entirely in your browser. Nothing is uploaded or saved to a server.

Can I use the Linear Equation Solver on mobile?+

Yes — the interface is fully responsive and works on phones, tablets and desktops.

What are common mistakes to avoid?+

The most frequent mistake is mixing units. Double-check your inputs use a single, consistent unit before clicking Calculate.

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Reddit post
Title: I built/used this free linear equation solver — instant, no signup

Body: Solve ax + b = 0 with full edge cases. Try it: https://freetoolsgalaxy.com/tools/linear-equation-solver
LinkedIn post
Linear Equation Solver on Free Tools Galaxy — Solve ax + b = 0 with full edge cases. https://freetoolsgalaxy.com/tools/linear-equation-solver
Medium intro
# Linear Equation Solver — the free tool I keep coming back to

Solve ax + b = 0 with full edge cases.

Try it: https://freetoolsgalaxy.com/tools/linear-equation-solver
Quora answer
The fastest way is to use a free in-browser linear equation solver: https://freetoolsgalaxy.com/tools/linear-equation-solver. Solve ax + b = 0 with full edge cases.

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<iframe src="https://freetoolsgalaxy.com/tools/linear-equation-solver?embed=1" title="Linear Equation Solver" loading="lazy"
  style="width:100%;height:600px;border:0;border-radius:16px;background:#0b1020"
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<p><a href="https://freetoolsgalaxy.com/tools/linear-equation-solver" target="_blank" rel="noopener">Powered by Linear Equation Solver on Free Tools Galaxy</a></p>
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</div>
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[Linear Equation Solver — free online tool](https://freetoolsgalaxy.com/tools/linear-equation-solver)

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<a href="https://freetoolsgalaxy.com/tools/linear-equation-solver" target="_blank" rel="noopener">Try the free Linear Equation Solver</a>

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Title
I built a free pregnancy due date calculator that works instantly in the browser — no signup, no ads in your face
Body
Hey r/[subreddit],

I kept needing a quick pregnancy due date calculator and most options online were slow or behind paywalls, so I built one that:

• Runs 100% in your browser (your data never leaves your device)
• No signup, no email wall, no popups
• Loads in under a second on mobile

It covers the standard pregnancy due date use cases (pregnancy, due, date, baby) and links out to the formula + worked examples if you want to learn the math.

Link: https://freetoolsgalaxy.com/tools/pregnancy-due-date-calculator

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