12=2(u-3)-5u

Solution for 12=2(u-3)-5u equation:

Simplifying
12 = 2(u + -3) + -5u

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

Combine like terms: 2u + -5u = -3u
12 = -6 + -3u

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

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

Add '-12' to each side of the equation.
12 + -12 + 3u = -6 + -12

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

Combine like terms: -6 + -12 = -18
3u = -18

Divide each side by '3'.
u = -6

Simplifying
u = -6