2/3 (x+12) + 2/3x=4 How do you solve the equation?

First use the distributive property to get everything by its self. This would leave you with ...

2/3x+8+2/3x=4

4/3x+8=4

-8=-8

4/3x=-4

4/3 / 4/3

x=-0.33

Simplify each term.

2x/3+8+2x/3=4

Add 2x/3 and 2x/3 to get 2 (2x/3).

2 (2x/3) + 8 = 4

Simplify.

4x/3+8=4

Since 8 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 8 from both sides.

4x/3=-8+4

Add - 8 and 4 to get - 4.

4x/3=-4

Multiply both sides of the equation by 3.

4x=-4⋅ (3)

Multiply - 4 by 3 to get - 12.

4x=-12

Divide each term in the equation by 4.

x = - 3

x is equal to - 3