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Solve Equations with Brackets

In this worksheet, students will solve equations with two sets of brackets.

'Solve Equations with Brackets' worksheet

Key stage:  KS 3

Year:  Year 8 Maths worksheets

Curriculum topic:   Algebra

Curriculum subtopic:   Solve Linear Equations (One Variable)

Popular topics:   Algebra worksheets

Difficulty level:  

Worksheet Overview

When we solve algebraic equations, our aim is to end up with one letter on one side of the equals sign and one number on the other.  This is the solution.


We do this by using inverse operations to undo things that get in the way, but remember that we must do the same thing to both sides.


When brackets are involved, we multiply out the brackets first.


If you need a reminder of how to do this, why not have a look at the activity called 'Multiply Out Double Brackets and Simplify'



7(b + 3) - 2(b - 3) = 47



Multiply out each set of brackets - be very careful with the negative signs! Remember that two negatives make a positive! (-2 x -3 = + 6)

7b + 21 - 2b + 6 = 47


Simplify by collecting like terms.

5b + 27 = 47


Subtract 27 from both sides.

5b + 27 - 27 = 47 - 27



5b = 20


Divide both sides by 5

5b ÷ 5 = 20 ÷ 5



b = 4


Want a bit more help with this before you begin? Why not watch this short video?

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