3(u+2)=-8u-5

Solution for 3(u+2)=-8u-5 equation:

Simplifying
3(u + 2) = -8u + -5

Reorder the terms:
3(2 + u) = -8u + -5
(2 * 3 + u * 3) = -8u + -5
(6 + 3u) = -8u + -5

Reorder the terms:
6 + 3u = -5 + -8u

Solving
6 + 3u = -5 + -8u

Solving for variable 'u'.

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

Add '8u' to each side of the equation.
6 + 3u + 8u = -5 + -8u + 8u

Combine like terms: 3u + 8u = 11u
6 + 11u = -5 + -8u + 8u

Combine like terms: -8u + 8u = 0
6 + 11u = -5 + 0
6 + 11u = -5

Add '-6' to each side of the equation.
6 + -6 + 11u = -5 + -6

Combine like terms: 6 + -6 = 0
0 + 11u = -5 + -6
11u = -5 + -6

Combine like terms: -5 + -6 = -11
11u = -11

Divide each side by '11'.
u = -1

Simplifying
u = -1