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

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

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

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

Reorder the terms:
6 + 3u = 42 + -3u

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

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

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

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

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

Combine like terms: 42 + -6 = 36
6u = 36

Divide each side by '6'.
u = 6

Simplifying
u = 6