-3(u-1)=2u-42

Solution for -3(u-1)=2u-42 equation:

Simplifying
-3(u + -1) = 2u + -42

Reorder the terms:
-3(-1 + u) = 2u + -42
(-1 * -3 + u * -3) = 2u + -42
(3 + -3u) = 2u + -42

Reorder the terms:
3 + -3u = -42 + 2u

Solving
3 + -3u = -42 + 2u

Solving for variable 'u'.

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

Add '-2u' to each side of the equation.
3 + -3u + -2u = -42 + 2u + -2u

Combine like terms: -3u + -2u = -5u
3 + -5u = -42 + 2u + -2u

Combine like terms: 2u + -2u = 0
3 + -5u = -42 + 0
3 + -5u = -42

Add '-3' to each side of the equation.
3 + -3 + -5u = -42 + -3

Combine like terms: 3 + -3 = 0
0 + -5u = -42 + -3
-5u = -42 + -3

Combine like terms: -42 + -3 = -45
-5u = -45

Divide each side by '-5'.
u = 9

Simplifying
u = 9