# How to Solve Equations with Brackets

## Solving Equations with Brackets

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.

## Slider

The slider below shows another real example of how to solve an equation with brackets.

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### 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

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

Both methods give the same answer.

## Slider

The slider below shows another real example of how to solve an equation with brackets.

Open the slider in a new tab