Enter a linear equation

Quick Examples:

Enter an equation above and click "Solve" to see the step-by-step solution.

Solution

x = 5

Verified

Step-by-Step Explanation

About Linear Equation Solver

What is a Linear Equation?

A linear equation is an algebraic equation where each term is either a constant or the product of a constant and a single variable to the first power. The variable does not have exponents like squared (x²) or cubed (x³).

For example: 2x + 3 = 11 is a linear equation. When plotted on a graph, it produces a straight line.

How to Use Linear Equation Solver

Enter the equation: Type your math problem in the input box (e.g., 3x - 7 = 11). You can use parenthesis, decimals, and negative numbers.

Click Solve Equation: Press the solve button or hit Enter on your keyboard.

Review the steps: The tool will instantly break down the problem into logical algebraic steps.

Check the verified answer: The final solution is automatically verified by substituting the value of x back into the original equation.

Why Use This Tool?

This calculator is perfect for fast calculations and educational use. Whether you are learning algebra, performing homework checking, or needing a quick verification for complex variables, the step-by-step explanation helps you understand the process rather than just giving you the final answer.

Frequently Asked Questions

A linear equation is a mathematical expression containing an equals sign and a variable (like x) that only has an exponent of 1. It represents a straight line when graphed on a coordinate plane.

To solve a linear equation, the goal is to isolate the variable (x) on one side of the equation. You achieve this by performing inverse operations (addition, subtraction, multiplication, and division) equally to both sides of the equals sign until x stands alone.

The standard form of a linear equation is typically written as Ax + By = C. When dealing with a single variable, it simplifies to the form ax + b = c, where a, b, and c are constants, and x is the unknown variable.

Yes! Our Linear Equation Solver doesn't just provide the final answer; it automatically generates a detailed, step-by-step breakdown of how the equation was simplified and solved.

Absolutely. The calculator fully supports decimal numbers. Simply enter the decimal (like 0.5x + 2 = 7) and the solver will accurately compute the result.

Yes, our solver intelligently handles parentheses and implicit multiplication. For example, entering 2(x + 3) = 14 will correctly distribute the 2 before solving for x.