-3u-42=-6(u+2)

Solution for -3u-42=-6(u+2) equation:

Simplifying
-3u + -42 = -6(u + 2)

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

Reorder the terms:
-42 + -3u = -6(2 + u)
-42 + -3u = (2 * -6 + u * -6)
-42 + -3u = (-12 + -6u)

Solving
-42 + -3u = -12 + -6u

Solving for variable 'u'.

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

Add '6u' to each side of the equation.
-42 + -3u + 6u = -12 + -6u + 6u

Combine like terms: -3u + 6u = 3u
-42 + 3u = -12 + -6u + 6u

Combine like terms: -6u + 6u = 0
-42 + 3u = -12 + 0
-42 + 3u = -12

Add '42' to each side of the equation.
-42 + 42 + 3u = -12 + 42

Combine like terms: -42 + 42 = 0
0 + 3u = -12 + 42
3u = -12 + 42

Combine like terms: -12 + 42 = 30
3u = 30

Divide each side by '3'.
u = 10

Simplifying
u = 10