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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:  

down

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

Solve

x + 10 = 3x + 5

x = 2½

x = 3

Solve 

3x - 9 = 4x + 6

x = -17

x = -15

Solve 

2x + 10 = x - 9

x = -17

x = -19

Solve 

x - 6 = 3x - 12

x = 3

x = 4

Solve 

3x + 9 = 4x + 10

x = 19

x = -1

Solve

3x - 11 = 5x + 9

x = -1

x = -10

Solve 

5x + 8 = x - 8

x = -4

x = 0

Solve 

5x - 3 = 2x - 12

x = -5

x = -3

Solve 

2x + 8 = 3x - 5

x = 13

x = -13

Solve 

2x + 5 = 4x - 9

x = 7

x = -2

  • Question 1

Solve

x + 10 = 3x + 5

CORRECT ANSWER
x = 2½
  • Question 2

Solve 

3x - 9 = 4x + 6

CORRECT ANSWER
x = -15
  • Question 3

Solve 

2x + 10 = x - 9

CORRECT ANSWER
x = -19
  • Question 4

Solve 

x - 6 = 3x - 12

CORRECT ANSWER
x = 3
  • Question 5

Solve 

3x + 9 = 4x + 10

CORRECT ANSWER
x = -1
  • Question 6

Solve

3x - 11 = 5x + 9

CORRECT ANSWER
x = -10
  • Question 7

Solve 

5x + 8 = x - 8

CORRECT ANSWER
x = -4
  • Question 8

Solve 

5x - 3 = 2x - 12

CORRECT ANSWER
x = -3
  • Question 9

Solve 

2x + 8 = 3x - 5

CORRECT ANSWER
x = 13
  • Question 10

Solve 

2x + 5 = 4x - 9

CORRECT ANSWER
x = 7
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