Solve for x: 2 over 3 (x - 2) = 4x.

2 / 3 ( x - 2 ) = 4x

Simplify both sides of the equation.

2/3(x−2)=4x

Simplify:

23(x−2)=4x

(2/3)(x)+(2/3)(−2)=4x(Distribute)

23x+(−4/3)=4x

Subtract 4x from both sides.

2/3x+−4/3−4x=4x−4x

−10/3x+−4/3=0

Add 4/3 to both sides.

−10/3x+−4/3+4/3=0+4/3

−10/3x=4/3

Multiply both sides by 3/(-10).

(3/−10)*(−10/3x)=(3/−10)*(4/3)

x = −2/5