6-8x=-2(3x+3)

Solution for 6-8x=-2(3x+3) equation:

Simplifying
6 + -8x = -2(3x + 3)

Reorder the terms:
6 + -8x = -2(3 + 3x)
6 + -8x = (3 * -2 + 3x * -2)
6 + -8x = (-6 + -6x)

Solving
6 + -8x = -6 + -6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6x' to each side of the equation.
6 + -8x + 6x = -6 + -6x + 6x

Combine like terms: -8x + 6x = -2x
6 + -2x = -6 + -6x + 6x

Combine like terms: -6x + 6x = 0
6 + -2x = -6 + 0
6 + -2x = -6

Add '-6' to each side of the equation.
6 + -6 + -2x = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -6 + -6
-2x = -6 + -6

Combine like terms: -6 + -6 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6