6=-3(u+5)

Solution for 6=-3(u+5) equation:

Simplifying
6 = -3(u + 5)

Reorder the terms:
6 = -3(5 + u)
6 = (5 * -3 + u * -3)
6 = (-15 + -3u)

Solving
6 = -15 + -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 = -15 + -3u + 3u

Combine like terms: -3u + 3u = 0
6 + 3u = -15 + 0
6 + 3u = -15

Add '-6' to each side of the equation.
6 + -6 + 3u = -15 + -6

Combine like terms: 6 + -6 = 0
0 + 3u = -15 + -6
3u = -15 + -6

Combine like terms: -15 + -6 = -21
3u = -21

Divide each side by '3'.
u = -7

Simplifying
u = -7