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

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

## 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:
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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### One–Step Equations – Example 4:

Solve this equation. $$3x=15,x=$$?

Solution:

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 the equation by $$3$$:
$$3x=15→3x÷3=15÷3→x=5$$

## Exercises for Solving One-Step Equations

### Solve each equation.

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

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

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