Question

Solve the equation 4(2x – 1) + 8 = 4x + 24. Factor out the greatest common factor, then
solve.

Answer 1

5

Explanation:

divide everything by 4

=(2x-1) +2 = x + 6

regroup

=2x = x + 5

x = 5

Answer 2

x=5

Explanation:

4(2x – 1) + 8 = 4x + 24.

Factor out a 4 from each side

4{ 2x-1 +2} = 4(x+6)

Cancel the 4 on each side

2x-1+2 = x+6

Combine like terms

2x+1 = x+6

Subtract x from each side

2x+1-x = x+6-x

x+1 = 6

Subtract 1 from each side

x+1-1 = 6-1

x = 5