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

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

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

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

Reorder the terms:
-42 + -3u = 3(2 + u)
-42 + -3u = (2 * 3 + u * 3)
-42 + -3u = (6 + 3u)

Solving
-42 + -3u = 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.
-42 + -3u + -3u = 6 + 3u + -3u

Combine like terms: -3u + -3u = -6u
-42 + -6u = 6 + 3u + -3u

Combine like terms: 3u + -3u = 0
-42 + -6u = 6 + 0
-42 + -6u = 6

Add '42' to each side of the equation.
-42 + 42 + -6u = 6 + 42

Combine like terms: -42 + 42 = 0
0 + -6u = 6 + 42
-6u = 6 + 42

Combine like terms: 6 + 42 = 48
-6u = 48

Divide each side by '-6'.
u = -8

Simplifying
u = -8