# Solving equations with brackets

## Home learning focus

In today's lesson, you will learn how to solve equations using brackets.

This lesson includes:

- a learning summary
- a video
- two activities

# Learn

**Solving an equation** means working out what number the variable is equal to. To do this, you need to get the variable on its own, one one side of the equation.

To solve a linear equation with brackets, you must begin by **expanding**, or **multiplying out** the brackets.

## Example

Let's look at an example. Solve the equation 3(5x - 4) = 2(2x + 5)

- First expand the brackets:
- 15x - 12 = 4x + 10

- Then subtract 4x from both sides:
- 11x - 12 = 10

- Add 12 to both sides:
- 11x = 22

And divide by 11 to give:

- x = 2

**So, x = 2**

Now watch this video from Pearson to see more examples of how to solve equations using brackets.

# Practise

## Activity 1

**Solve and match up the equations**

Have a go at this interactive activity from MyMaths from Oxford University Press. You have to solve the equations and match them up with the solutions.

## Activity 2

**Worksheet: Solving equations**

Have a go at this worksheet from Hodder Education on solving equations using brackets. There are three pages of questions to work through.

You can print it out or write your answers on a piece of paper.

# There's more to learn

Have a look at these other resources around the BBC and the web.