How do you solve 1/3 (2x-4) + 5=-2/3 (x+1)

Heyo!

Solve the equation

1/3 (2x - 4) + 5 = - 2/3 (x + 1)

Distribute 1/3 through the parenthesis

2/3x - 4/3 + 5 = - 2/3 (x + 1)

Distribute - 2/3 through the parenthesis

2/3x - 4/3 + 5 = - 2/3x - 2/3

Calculate the sum or difference

2/3x + 11/3 = - 2/3x - 2/3

Multiply both sides of the equation by 3

2x + 11 = - 2x - 2

Move variable to the left side and change its sign

2x + 2x + 11 = - 2

Move constant to the right side and change its sign

2x + 2x = - 2 - 11

Collect the like terms

4x = - 2 - 11

Calculate the sum or difference

4x = - 13

Divide both sides of the equation by 4

x = - 13/4