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Solve Simple Linear Equations with Unknown on Each Side

In this worksheet, students practise to solve simple linear equations where there are unknowns on each side.

'Solve Simple Linear Equations with Unknown on Each Side' worksheet

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Solve Linear Equations (One Variable)

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

Follow this example and the steps used to solve this simple equation with unknowns on both sides.

 

Example

3x - 4 = 5x - 20

 

Method

Reverse so that the bigger x term is on the left (this move is optional but makes it easier)

5x - 20 = 3x - 4

Subtract 3x from both sides

2x - 20 = -4

Add 20 to both sides

2x = 16

Divide both sides by 2

x = 8

 

Check answer

Substitute x = 8 into the original equation 3x - 4 = 5x - 20

Left hand side = 3 x 8 - 4 = 24 - 4 = 20

Right hand side = 5 x 8 - 20 = 40 - 20 = 20

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