8+2(3u-1)=-3(3u-7)+9u

Solution for 8+2(3u-1)=-3(3u-7)+9u equation:

Simplifying
8 + 2(3u + -1) = -3(3u + -7) + 9u

Reorder the terms:
8 + 2(-1 + 3u) = -3(3u + -7) + 9u
8 + (-1 * 2 + 3u * 2) = -3(3u + -7) + 9u
8 + (-2 + 6u) = -3(3u + -7) + 9u

Combine like terms: 8 + -2 = 6
6 + 6u = -3(3u + -7) + 9u

Reorder the terms:
6 + 6u = -3(-7 + 3u) + 9u
6 + 6u = (-7 * -3 + 3u * -3) + 9u
6 + 6u = (21 + -9u) + 9u

Combine like terms: -9u + 9u = 0
6 + 6u = 21 + 0
6 + 6u = 21

Solving
6 + 6u = 21

Solving for variable 'u'.

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

Add '-6' to each side of the equation.
6 + -6 + 6u = 21 + -6

Combine like terms: 6 + -6 = 0
0 + 6u = 21 + -6
6u = 21 + -6

Combine like terms: 21 + -6 = 15
6u = 15

Divide each side by '6'.
u = 2.5

Simplifying
u = 2.5