# Solving Equations with Brackets(KS3, Year 7)

## The Lesson

We can solve equations with brackets. Imagine we wanted to solve the equation shown below.

## How to Solve Equations with Brackets

Solving equations with brackets is easy.

## Question

Solve 2(x + 1) = 6.
There are two methods for solving the equation with brackets.

## Method 1

Solve 2(x + 1) = 6 by expanding the brackets first.

# 1

Expand the brackets on the left-hand side of the equation.

2(x + 1) = 2 × x + 2 × 1 2x + 2
Don't forget: Expand the brackets by multiplying each term inside the brackets with the term outside of it.

# 2

Solve the equation.

 2x + 2 = 6 2x + 2 − 2 = 6 − 2 Subtract 2 from both sides 2x = 4 2x ÷ 2 = 4 ÷ 2 Divide both sides by 2 x = 2

The solution to 2(x + 1) = 6 is x = 2.

## Lesson Slides

The slider below shows another real example of how to solve an equation with brackets. Open the slider in a new tab

## Method 2

Solve 2(x + 1) = 6 by dividing by the number in front of the brackets.

# 1

Divide both sides by the term in front of the brackets (2).
2(x + 1) ÷ 2 = 6 ÷ 2 x + 1 = 3

# 2

Solve the equation.
 x + 1 = 3 x + 1 − 1 = 3 − 1 Subtract 1 from both sides x = 2