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

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

Simplifying
2(3 + x) = -8(6 + -1x)
(3 * 2 + x * 2) = -8(6 + -1x)
(6 + 2x) = -8(6 + -1x)
6 + 2x = (6 * -8 + -1x * -8)
6 + 2x = (-48 + 8x)

Solving
6 + 2x = -48 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + 2x + -8x = -48 + 8x + -8x

Combine like terms: 2x + -8x = -6x
6 + -6x = -48 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -6x = -48 + 0
6 + -6x = -48

Add '-6' to each side of the equation.
6 + -6 + -6x = -48 + -6

Combine like terms: 6 + -6 = 0
0 + -6x = -48 + -6
-6x = -48 + -6

Combine like terms: -48 + -6 = -54
-6x = -54

Divide each side by '-6'.
x = 9

Simplifying
x = 9