3(2x-2)-4(X+6)=4X+8
Multiply 3 by each term inside the parentheses.
(6x-6)-4(X+6)=4X+8
Multiply -4 by each term inside the parentheses.
(6x-6)+(-4X-24)=4X+8
Remove the parentheses that are not needed from the expression.
6x-6-4X-24=4X+8
Subtract 24 from -6 to get -30.
6x-30-4X=4X+8
Move all terms not containing x to the right-hand side of the equation.
6x=30+4X+4X+8
Simplify the right-hand side of the equation.
6x=8X+38
Divide each term in the equation by 6.
(6x)/(6)=(8X)/(6)+(38)/(6)
Simplify the left-hand side of the equation by canceling the common terms.
x=(8X)/(6)+(38)/(6)
Simplify the right-hand side of the equation by simplifying each term.
x=(4X+19)/(3)