2(u+3)=-3(6u-8)+5u

Solution for 2(u+3)=-3(6u-8)+5u equation:

Simplifying
2(u + 3) = -3(6u + -8) + 5u

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

Reorder the terms:
6 + 2u = -3(-8 + 6u) + 5u
6 + 2u = (-8 * -3 + 6u * -3) + 5u
6 + 2u = (24 + -18u) + 5u

Combine like terms: -18u + 5u = -13u
6 + 2u = 24 + -13u

Solving
6 + 2u = 24 + -13u

Solving for variable 'u'.

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

Add '13u' to each side of the equation.
6 + 2u + 13u = 24 + -13u + 13u

Combine like terms: 2u + 13u = 15u
6 + 15u = 24 + -13u + 13u

Combine like terms: -13u + 13u = 0
6 + 15u = 24 + 0
6 + 15u = 24

Add '-6' to each side of the equation.
6 + -6 + 15u = 24 + -6

Combine like terms: 6 + -6 = 0
0 + 15u = 24 + -6
15u = 24 + -6

Combine like terms: 24 + -6 = 18
15u = 18

Divide each side by '15'.
u = 1.2

Simplifying
u = 1.2