Solve simple one-step equations

A one-step equation represents an equality between two quantities, with a single unknown related to known whole numbers by addition, subtraction, multiplication, or division; solving means identifying the unknown by applying the inverse operation while preserving equality. The unknown may appear in different positions, and substitution verifies the solution, countering the misconception that the equals sign means “the answer comes next”; negative numbers, variables on both sides, and multi-step equations are beyond this scope.

Detailed Explanation: Solve simple one-step equations

An equation says that two quantities are equal. The equals sign means “has the same value as,” not just “the answer comes next.”

To solve a one-step equation:

Identify the operation connected to the unknown.
Use the inverse operation to undo it.
Do the same thing to both sides so the equation stays balanced.
Substitute your answer back to check it.

Example:

x+7=12

The unknown, $x$ , has $7$ added to it. The inverse of addition is subtraction, so subtract $7$ from both sides:

x+7-7=12-7

Simplify:

x=5

Check the solution by substituting $5$ for $x$ in the original equation:

5+7=12

Since $12=12$ , the solution is correct.

\boxed{x=5}

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Linear Equation - One Variable, Two Terms

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Solve simple one-step equations

Detailed Explanation: Solve simple one-step equations

Learn by doing: Solve simple one-step equations

Practice with unlimited practice problems

Practice:

Linear Equation - One Variable, Two Terms