Algebra

Linear Equation Calculator with Steps

Solve equations in the form ax + b = c and see the inverse operations used to isolate x.

Solve ax + b = c

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Answer
x = 4
  1. Check: 2(4) + 3 = 11

How to use the linear equation calculator

Use this focused calculator for one-variable linear equations. It shows the subtraction and division steps needed to isolate x.

  1. Enter a, b, and c for ax + b = c.
  2. Subtract b from both sides.
  3. Divide both sides by a.
  4. Check the answer by substituting x back into the original equation.

Formula or method

For ax + b = c, x = (c - b) / a.

Worked examples

Solve for x

Problem: 2x + 3 = 11

Solution: 2x = 8, so x = 4.

Negative coefficient

Problem: -3x + 6 = 15

Solution: -3x = 9, so x = -3.