How to Solve One-Step Equations? (+FREE Worksheet!)

Solving one-step equations is simple. Following the following steps to solve one-step equations easily.

Related Topics

• How to Solve Multi-Step Equations
• How to Solve One-Step Inequalities
• How to Solve Multi-Step Inequalities
• How to Solve Systems of Equations
• How to Graph Single–Variable Inequalities

Step-by-step guide to solve one–step equations

• The values of two expressions on both sides of an equation are equal. \(ax \ + \ b=c\)
• You only need to perform one Math operation to solve the one-step equations.
• To solve the one-step equation, find the inverse (opposite) operation is being performed.
• The inverse operations are:
  Addition and subtraction
  Multiplication and division

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One–Step Equations – Example 1:

Solve this equation. \(2x=16, x=?\)

Solution:

Here, the operation is multiplication (variable \(x\) is multiplied by \(2\)) and its inverse operation is division. To solve this equation, divide both sides of the equation by \(2\):
\(2x=16→ 2x \ ÷ \ 2=16 \ ÷ \ 2→x=8\)

One–Step Equations – Example 2:

Solve this equation. \(x \ + \ 12=0, x=?\)

Solution:

Here, the operation is addition and its inverse operation is subtraction. To solve this equation, subtract \(12\) from both sides of the equation: \(x \ + \ 12=0\) → \(x \ + \ 12 \ − \ 12=0 \ − \ 12 \)
Then simplify: \(x \ + \ 12 \ − \ 12=0 \ − \ 12 → x=− 12 \)

One–Step Equations – Example 3:

Solve this equation. \( x+24=0 ,x=\) ?

Solution:

Here, the operation is addition and its inverse operation is subtraction. To solve this equation, subtract \(24\) from both sides of the equation: \( x+24=0\) → \(x+24-24=0-24 \)
Then simplify: \(x+24-24=0-24 → x=-24 \)

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