3(u+2)=-2(7u-8)+5u

Solution for 3(u+2)=-2(7u-8)+5u equation:

Simplifying
3(u + 2) = -2(7u + -8) + 5u

Reorder the terms:
3(2 + u) = -2(7u + -8) + 5u
(2 * 3 + u * 3) = -2(7u + -8) + 5u
(6 + 3u) = -2(7u + -8) + 5u

Reorder the terms:
6 + 3u = -2(-8 + 7u) + 5u
6 + 3u = (-8 * -2 + 7u * -2) + 5u
6 + 3u = (16 + -14u) + 5u

Combine like terms: -14u + 5u = -9u
6 + 3u = 16 + -9u

Solving
6 + 3u = 16 + -9u

Solving for variable 'u'.

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

Add '9u' to each side of the equation.
6 + 3u + 9u = 16 + -9u + 9u

Combine like terms: 3u + 9u = 12u
6 + 12u = 16 + -9u + 9u

Combine like terms: -9u + 9u = 0
6 + 12u = 16 + 0
6 + 12u = 16

Add '-6' to each side of the equation.
6 + -6 + 12u = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 12u = 16 + -6
12u = 16 + -6

Combine like terms: 16 + -6 = 10
12u = 10

Divide each side by '12'.
u = 0.8333333333

Simplifying
u = 0.8333333333