6+2(6u-2)=-5(3u-1)+9u

Solution for 6+2(6u-2)=-5(3u-1)+9u equation:

Simplifying
6 + 2(6u + -2) = -5(3u + -1) + 9u

Reorder the terms:
6 + 2(-2 + 6u) = -5(3u + -1) + 9u
6 + (-2 * 2 + 6u * 2) = -5(3u + -1) + 9u
6 + (-4 + 12u) = -5(3u + -1) + 9u

Combine like terms: 6 + -4 = 2
2 + 12u = -5(3u + -1) + 9u

Reorder the terms:
2 + 12u = -5(-1 + 3u) + 9u
2 + 12u = (-1 * -5 + 3u * -5) + 9u
2 + 12u = (5 + -15u) + 9u

Combine like terms: -15u + 9u = -6u
2 + 12u = 5 + -6u

Solving
2 + 12u = 5 + -6u

Solving for variable 'u'.

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

Add '6u' to each side of the equation.
2 + 12u + 6u = 5 + -6u + 6u

Combine like terms: 12u + 6u = 18u
2 + 18u = 5 + -6u + 6u

Combine like terms: -6u + 6u = 0
2 + 18u = 5 + 0
2 + 18u = 5

Add '-2' to each side of the equation.
2 + -2 + 18u = 5 + -2

Combine like terms: 2 + -2 = 0
0 + 18u = 5 + -2
18u = 5 + -2

Combine like terms: 5 + -2 = 3
18u = 3

Divide each side by '18'.
u = 0.1666666667

Simplifying
u = 0.1666666667