Solving linear equations(brackets)

Question 1

When given

2(x + 3) = 8

what should we do first?

Answer 1

Since 8 is divisible by 2, we can first do this

x + 3 = 8/2

or we can expand 2(x + 3)

2x + 6 = 8

Question 2

When given

3(x + 3) = 8

what should we do first?

Answer 2

Since 8 is not divisible by 3, we should expand 3(x + 3)

3x + 9 = 8

Question 3

What is the final step in solving the following

2(x + 3) = 8

Answer 3

The last step is always having x at one side of the equation

2x + 6 = 8

2x = 8 - 6

2x = 2

x = 2/2

x = 1

Question 4

What is the final step in solving the following

2(x + 3) = 8

Answer 4

The last step is always having x at one side of the equation

x + 3 = 8/2

x + 3 = 4

x = 4 - 3

x = 1

Question 5

Solve the linear equation

2(x + 4) = 10

Answer 5

x + 4 = 10/2

x + 4 = 5

x = 5 - 4

x = 1

Question 6

Solve the linear equation

2(x - 4) = 10

Answer 6

x - 4 = 10/2

x - 4 = 5

x = 5 + 4

x = 9

Question 7

Solve the linear equation

2(x - 4) = 7

Answer 7

2x - 8 = 7

2x = 7 + 8

2x = 15

x = 15/2

x = 7.5

Question 8

Solve the linear equation

2(x + 4) = 7

Answer 8

2x + 8 = 7

2x = 7 - 8

2x = -1

x = -1/2

x = -0.5