By Bryant Harland • Updated Aug 30, 2022

A single-variable linear equation features one unknown variable, with no exponents or radicals. By mastering the basic steps to isolate that variable, you’ll build a strong algebraic foundation for tackling more complex problems.

Step 1: Identify the Variable, Constants, and Operations

Locate the unknown symbol (e.g., x) and the fixed numbers in the equation. Any number multiplied by the variable is its coefficient. For example, in 2x + 6 = 8, x is the variable, 2 and 6 are constants, and 2 is the coefficient.

Step 2: Reverse the Operations to Isolate the Variable

Apply the inverse operation to both sides to cancel out constants and simplify. Follow the order: first address addition/subtraction, then multiplication/division. From 2x + 6 = 8, subtract 6 from each side to get 2x = 2, then divide by 2 to obtain x = 1.

Step 3: Verify Your Result

Substitute the computed value back into the original equation. If the equality holds, the solution is correct. Replacing x with 1 in the example gives 2(1) + 6 = 8, confirming the solution.