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