-3(4u-2)+5u=-3(u+4)

Solution for -3(4u-2)+5u=-3(u+4) equation:

Simplifying
-3(4u + -2) + 5u = -3(u + 4)

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

Combine like terms: -12u + 5u = -7u
6 + -7u = -3(u + 4)

Reorder the terms:
6 + -7u = -3(4 + u)
6 + -7u = (4 * -3 + u * -3)
6 + -7u = (-12 + -3u)

Solving
6 + -7u = -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.
6 + -7u + 3u = -12 + -3u + 3u

Combine like terms: -7u + 3u = -4u
6 + -4u = -12 + -3u + 3u

Combine like terms: -3u + 3u = 0
6 + -4u = -12 + 0
6 + -4u = -12

Add '-6' to each side of the equation.
6 + -6 + -4u = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -4u = -12 + -6
-4u = -12 + -6

Combine like terms: -12 + -6 = -18
-4u = -18

Divide each side by '-4'.
u = 4.5

Simplifying
u = 4.5