6+2(6u-3)=-6(2u-2)+9u

Solution for 6+2(6u-3)=-6(2u-2)+9u equation:

Simplifying
6 + 2(6u + -3) = -6(2u + -2) + 9u

Reorder the terms:
6 + 2(-3 + 6u) = -6(2u + -2) + 9u
6 + (-3 * 2 + 6u * 2) = -6(2u + -2) + 9u
6 + (-6 + 12u) = -6(2u + -2) + 9u

Combine like terms: 6 + -6 = 0
0 + 12u = -6(2u + -2) + 9u
12u = -6(2u + -2) + 9u

Reorder the terms:
12u = -6(-2 + 2u) + 9u
12u = (-2 * -6 + 2u * -6) + 9u
12u = (12 + -12u) + 9u

Combine like terms: -12u + 9u = -3u
12u = 12 + -3u

Solving
12u = 12 + -3u

Solving for variable 'u'.

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

Add '3u' to each side of the equation.
12u + 3u = 12 + -3u + 3u

Combine like terms: 12u + 3u = 15u
15u = 12 + -3u + 3u

Combine like terms: -3u + 3u = 0
15u = 12 + 0
15u = 12

Divide each side by '15'.
u = 0.8

Simplifying
u = 0.8