Solve Linear Equations Step-by-Step | Free, Unlimited Tool

2x + 3 = 7
5x – 10 = 0
x/2 + 4 = 7
3(x + 2) = 15
-2x + 8 = 4
7x – 5 = 3x + 11
📖 How to use the Equation Solver

Welcome to the Step-by-Step Equation Solver. To begin, enter your linear equation into the Equation field. The tool is highly flexible and supports various operation symbols, including ×, ·, *, ÷, /, −, –, and . You can solve equations like 3(x + 2) = 15 or 7x – 5 = 3x + 11.

If you have a specific variable you are solving for, enter it in the Variable box; otherwise, the tool will automatically detect the letter for you. Use the Show Steps toggle to see a full whiteboard-style breakdown of every algebraic movement, including the subtraction or addition of terms across both sides of the equal sign.

The Verify Solution feature is a powerful way to ensure accuracy. Once an answer is found, the tool takes that result and plugs it back into every instance of the variable in your original equation. It calculates the value of the left side and the right side independently. If both sides equal the same number, the tool confirms the solution is correct.

💡 10 Practice Examples
2x + 5 = 15 Basic two-step equation showing constant isolation and division. Beginner
3(x – 4) = 12 Tests parentheses distribution and negative number handling. Parentheses
10y + 2 = 4y + 20 Moving variable terms across the equals sign using variable ‘y’. Variables Both Sides
5x + 10 = 0 Demonstrates how the tool handles a zero on the right-hand side. Zero Result
x ÷ 2 – 4 = 1 Highlights support for the division symbol (÷). Division Sign
7.5z – 2.5 = 12.5 Handles decimal numbers and different variable letters (z). Decimals
4 × a + 8 = 24 Tests the multiplication cross (×) and detection for “a”. Multiplication Sign
3x + 10 = 3x + 10 A special case for infinite solution scenarios. Infinite Solutions
2(x + 5) – 3 = 17 Complex expression requiring initial simplification. Multi-Step
15 – 2x = 5 Negative coefficients and subtraction handling. Verification