How to Solve One–Step Equations

How to Solve One–Step Equations

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

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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 in order to solve the one-step equations.
  • To solve one-step equation, find the inverse (opposite) operation is being performed.
  • The inverse operations are:
    Addition and subtraction
    Multiplication and division

One–Step Equations – Example 1:

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

Solultion:

Here, the operation is multiplication (variable \(x\) is multiplied by \(3\)) and its inverse operation is division. To solve this equation, divide both sides of equation by \(2\):
\(2x=16→2 \ x \ ÷ \ 2=16 \ ÷ \ 2→x=8\)

One–Step Equations – Example 2:

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

Solultion:

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

One–Step Equations – Example 3:

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

Solultion:

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

One–Step Equations – Example 4:

Solve this equation. \( 3x=15,x=\)?

Solultion:

Here, the operation is multiplication (variable x is multiplied by \(3\)) and its inverse operation is division. To solve this equation, divide both sides of equation by \(3\):
\( 3x=15→3x÷3=15÷3→x=5\)

Exercises for Solving One–Step Equations

Solve each equation.

  • \(\color{blue}{x + 3 = 17}\)
  • \(\color{blue}{22 = (– 8) + x}\)
  • \(\color{blue}{3x = (– 30)}\)
  • \(\color{blue}{(– 36) = (– 6x)}\)
  • \(\color{blue}{(– 6) = 4 + x}\)
  • \(\color{blue}{2 + x = (– 2)}\)

Download One-Step Equations Worksheet

This image has an empty alt attribute; its file name is answer-3.png

Answers

  • \(\color{blue}{14}\)
  • \(\color{blue}{30}\)
  • \(\color{blue}{-10}\)
  • \(\color{blue}{6}\)
  • \(\color{blue}{-10}\)
  • \(\color{blue}{-4}\)

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