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Linear Equation Calculator : Solve ax + b = c with Step-by-Step Steps

The Linear Equation Calculator solves first-degree algebraic equations in the form ax + b = c. It handles all edge cases including infinite solutions (identities) and no-solution contradictions.

Interactive Calculator

100% Client-Side Engine
Standard Linear Equation: ax + b = c
x
+=
Linear Equation Solution
x = 6
Algebraic Solution Steps
Standard Form: 3x + 6 = 24
Subtract 6 from both sides: 3x = 24 - 6 = 18
Divide by 3: x = 18 / 3 = 6

Step-by-Step Examples

Solving 3x + 12 = 27

Finding unknown x in a linear algebraic expression.

Inputs: a: 3, b: 12, c: 27
Result: x = 5 (Step: 3x = 15 -> x = 5)

Subtract 12 from 27 to get 15. Divide 15 by 3 to obtain x = 5.

How to Use This Tool

  1. Enter coefficient a (multiplying x).
  2. Enter constant b (added to ax) and constant c (target value).
  3. Click Calculate to solve for x with complete step-by-step isolation steps.

Frequently Asked Questions

If a = 0 and b = c (e.g. 0x + 5 = 5), the equation is an identity with infinitely many solutions. If a = 0 and b != c (e.g. 0x + 5 = 9), the equation is inconsistent and has no solution.

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