ToolBark
Math

Linear Equation Solver

Solve ax + b = c for x instantly, with step-by-step working

Equation3x + 5 = 14Edit the coefficients below to update the equation in real time

Coefficients

Quick Examples

Solution

Value of x3

Step-by-step

  1. 1
    Start with the equation3x + 5 = 14
  2. 2
    Subtract b from both sides3x = 14 - (5)
  3. 3
    Simplify right side3x = 9
  4. 4
    Divide both sides by ax = (9) ÷ 3
  5. 5
    Resultx = 3

Verification

3 × (3) + 5 = 14 ✓ equals 14

Formula: ax + b = c → isolate x by subtracting b from both sides and dividing by a: x = (c − b) / a. When a = 0 the equation becomes b = c; it either holds for all x (infinite solutions) or has no solution at all. All calculations run locally in your browser.

About

A linear equation solver for equations in the standard form ax + b = c. Enter the coefficient a, the constant b, and the right-hand side value c to solve for x in one click. The tool shows the exact answer (including simplified fractions), a numbered step-by-step solution, and a verification check — all calculated instantly in your browser without any sign-up.

FAQ
What form of equation does this solver support?+

This tool solves single-variable linear equations in the form ax + b = c, where a is the coefficient of x, b is a constant added to the left side, and c is the right-hand side value. Decimals and negative numbers are fully supported for all three inputs.

What happens when a = 0?+

When the coefficient a is zero, x disappears from the equation. If b also equals c the equation becomes an identity (true for every x, so infinitely many solutions). If b differs from c, the equation is a contradiction with no solution at all.

Does the solver show fractions or only decimals?+

When a, b, and c are all integers and the result is not a whole number, the solver displays the answer as a simplified fraction (e.g. 3/2) alongside the decimal approximation.

Is my data sent to a server?+

No. All calculations happen entirely in your browser using JavaScript. No data leaves your device and no account is required.

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