-2(3u-3)+8u=-2(u+2)

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

Simplifying
-2(3u + -3) + 8u = -2(u + 2)

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

Combine like terms: -6u + 8u = 2u
6 + 2u = -2(u + 2)

Reorder the terms:
6 + 2u = -2(2 + u)
6 + 2u = (2 * -2 + u * -2)
6 + 2u = (-4 + -2u)

Solving
6 + 2u = -4 + -2u

Solving for variable 'u'.

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

Add '2u' to each side of the equation.
6 + 2u + 2u = -4 + -2u + 2u

Combine like terms: 2u + 2u = 4u
6 + 4u = -4 + -2u + 2u

Combine like terms: -2u + 2u = 0
6 + 4u = -4 + 0
6 + 4u = -4

Add '-6' to each side of the equation.
6 + -6 + 4u = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 4u = -4 + -6
4u = -4 + -6

Combine like terms: -4 + -6 = -10
4u = -10

Divide each side by '4'.
u = -2.5

Simplifying
u = -2.5