33=5(u+6)-8u

Solution for 33=5(u+6)-8u equation:

Simplifying
33 = 5(u + 6) + -8u

Reorder the terms:
33 = 5(6 + u) + -8u
33 = (6 * 5 + u * 5) + -8u
33 = (30 + 5u) + -8u

Combine like terms: 5u + -8u = -3u
33 = 30 + -3u

Solving
33 = 30 + -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.
33 + 3u = 30 + -3u + 3u

Combine like terms: -3u + 3u = 0
33 + 3u = 30 + 0
33 + 3u = 30

Add '-33' to each side of the equation.
33 + -33 + 3u = 30 + -33

Combine like terms: 33 + -33 = 0
0 + 3u = 30 + -33
3u = 30 + -33

Combine like terms: 30 + -33 = -3
3u = -3

Divide each side by '3'.
u = -1

Simplifying
u = -1