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

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

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

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

Combine like terms: 3u + -5u = -2u
-6 = 6 + -2u

Solving
-6 = 6 + -2u

Solving for variable 'u'.

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

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

Combine like terms: -2u + 2u = 0
-6 + 2u = 6 + 0
-6 + 2u = 6

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

Combine like terms: -6 + 6 = 0
0 + 2u = 6 + 6
2u = 6 + 6

Combine like terms: 6 + 6 = 12
2u = 12

Divide each side by '2'.
u = 6

Simplifying
u = 6