Linear Equation Solver Calculator

Published on: October 10, 2024

Enter a linear equation like 2x + 3 = 11 or 4x - 5 = 7 and this tool will solve it step-by-step.

Step-by-step method

  1. Identify what is given.
  2. Solve for x.

Example 1: 2x + 3 = 11

Step 1 - Identify what is given.

In this problem: The given equation is 2x + 3 = 11.

2x + 3 = 11

Step 2 - Solve for x.

In this problem: We will solve it step-by-step using inverse operations.

2x + 3 = 11

Step 2a - Move constants to the right.

In this problem: Subtract 3 from both sides.

2x + 3 − 3 = 11 − 3

Step 2b - Simplify.

In this problem: Combine like terms after the operation.

2x = 8

Step 2c - Divide to isolate x.

In this problem: Divide both sides by 2.

2x / 2 = 8 / 2

Final answer: x = 4

Example 2: 4x − 5 = 7

Step 1 - Identify what is given.

In this problem: The given equation is 4x − 5 = 7.

4x − 5 = 7

Step 2 - Solve for x.

In this problem: We will solve it step-by-step using inverse operations.

4x − 5 = 7

Step 2a - Move constants to the right.

In this problem: Add 5 to both sides.

4x − 5 + 5 = 7 + 5

Step 2b - Simplify.

In this problem: Combine like terms after the operation.

4x = 12

Step 2c - Divide to isolate x.

In this problem: Divide both sides by 4.

4x / 4 = 12 / 4

Final answer: x = 3