3(u-1)=9u+33

Solution for 3(u-1)=9u+33 equation:

Simplifying
3(u + -1) = 9u + 33

Reorder the terms:
3(-1 + u) = 9u + 33
(-1 * 3 + u * 3) = 9u + 33
(-3 + 3u) = 9u + 33

Reorder the terms:
-3 + 3u = 33 + 9u

Solving
-3 + 3u = 33 + 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.
-3 + 3u + -9u = 33 + 9u + -9u

Combine like terms: 3u + -9u = -6u
-3 + -6u = 33 + 9u + -9u

Combine like terms: 9u + -9u = 0
-3 + -6u = 33 + 0
-3 + -6u = 33

Add '3' to each side of the equation.
-3 + 3 + -6u = 33 + 3

Combine like terms: -3 + 3 = 0
0 + -6u = 33 + 3
-6u = 33 + 3

Combine like terms: 33 + 3 = 36
-6u = 36

Divide each side by '-6'.
u = -6

Simplifying
u = -6