-3(u+2)=-7u-42

Solution for -3(u+2)=-7u-42 equation:

Simplifying
-3(u + 2) = -7u + -42

Reorder the terms:
-3(2 + u) = -7u + -42
(2 * -3 + u * -3) = -7u + -42
(-6 + -3u) = -7u + -42

Reorder the terms:
-6 + -3u = -42 + -7u

Solving
-6 + -3u = -42 + -7u

Solving for variable 'u'.

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

Add '7u' to each side of the equation.
-6 + -3u + 7u = -42 + -7u + 7u

Combine like terms: -3u + 7u = 4u
-6 + 4u = -42 + -7u + 7u

Combine like terms: -7u + 7u = 0
-6 + 4u = -42 + 0
-6 + 4u = -42

Add '6' to each side of the equation.
-6 + 6 + 4u = -42 + 6

Combine like terms: -6 + 6 = 0
0 + 4u = -42 + 6
4u = -42 + 6

Combine like terms: -42 + 6 = -36
4u = -36

Divide each side by '4'.
u = -9

Simplifying
u = -9