-3(2u-2)+5u=9+3(3u-7)

Solution for -3(2u-2)+5u=9+3(3u-7) equation:

Simplifying
-3(2u + -2) + 5u = 9 + 3(3u + -7)

Reorder the terms:
-3(-2 + 2u) + 5u = 9 + 3(3u + -7)
(-2 * -3 + 2u * -3) + 5u = 9 + 3(3u + -7)
(6 + -6u) + 5u = 9 + 3(3u + -7)

Combine like terms: -6u + 5u = -1u
6 + -1u = 9 + 3(3u + -7)

Reorder the terms:
6 + -1u = 9 + 3(-7 + 3u)
6 + -1u = 9 + (-7 * 3 + 3u * 3)
6 + -1u = 9 + (-21 + 9u)

Combine like terms: 9 + -21 = -12
6 + -1u = -12 + 9u

Solving
6 + -1u = -12 + 9u

Solving for variable 'u'.

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

Add '-9u' to each side of the equation.
6 + -1u + -9u = -12 + 9u + -9u

Combine like terms: -1u + -9u = -10u
6 + -10u = -12 + 9u + -9u

Combine like terms: 9u + -9u = 0
6 + -10u = -12 + 0
6 + -10u = -12

Add '-6' to each side of the equation.
6 + -6 + -10u = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -10u = -12 + -6
-10u = -12 + -6

Combine like terms: -12 + -6 = -18
-10u = -18

Divide each side by '-10'.
u = 1.8

Simplifying
u = 1.8