Linear Equation Solver

Solve any linear equation instantly with step-by-step solutions. Free online calculator for one-variable and two-variable linear equations.

A linear equation is an equation where the highest power of the variable is 1. These equations form straight lines when graphed and appear throughout algebra, physics, and everyday problem solving. Our linear equation solver takes any equation in the form ax + b = c and breaks it down into clear, numbered steps so you understand exactly how to reach the answer.

How It Works

Enter your equation or expression into the solver above and click "Solve." Our system first attempts a deterministic verification using a symbolic math engine for guaranteed accuracy. If verified, you will see a Verified badge next to the answer.

Example Problem

5x - 3 = 2x + 9

Step-by-Step Solution

  1. Start with: 5x - 3 = 2x + 9
  2. Subtract 2x from both sides: 3x - 3 = 9
  3. Add 3 to both sides: 3x = 12
  4. Divide by 3: x = 4
Final Answer: x = 4

Frequently Asked Questions

What is a linear equation?
A linear equation is an algebraic equation in which the highest exponent of the variable is 1. It has the general form ax + b = 0, where a and b are constants.
How do you solve a linear equation with variables on both sides?
Move all variable terms to one side using addition or subtraction, combine like terms, then isolate the variable by dividing.
Can a linear equation have no solution?
Yes. If simplifying leads to a false statement like 0 = 5, the equation has no solution. If it leads to a true statement like 0 = 0, it has infinitely many solutions.

Related Solvers

Try Our AI-Powered Math Solver

Get step-by-step solutions with verified answers instantly.

Solve a Problem Now