Linear Equation Solver Calculator

Published on: October 10, 2024

This Linear Equation Solver Calculator helps you solve linear equations by isolating the variable step by step. First simplify both sides if needed, then move constant terms and variable terms to the correct sides while keeping the equation balanced. Finally divide or multiply to get the value of the variable. It is a simple way to check answers, understand equation solving, and practise basic algebra 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