3(u-3)-3(4+u)=5+u

Solution for 3(u-3)-3(4+u)=5+u equation:

Simplifying
3(u + -3) + -3(4 + u) = 5 + u

Reorder the terms:
3(-3 + u) + -3(4 + u) = 5 + u
(-3 * 3 + u * 3) + -3(4 + u) = 5 + u
(-9 + 3u) + -3(4 + u) = 5 + u
-9 + 3u + (4 * -3 + u * -3) = 5 + u
-9 + 3u + (-12 + -3u) = 5 + u

Reorder the terms:
-9 + -12 + 3u + -3u = 5 + u

Combine like terms: -9 + -12 = -21
-21 + 3u + -3u = 5 + u

Combine like terms: 3u + -3u = 0
-21 + 0 = 5 + u
-21 = 5 + u

Solving
-21 = 5 + u

Solving for variable 'u'.

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

Add '-1u' to each side of the equation.
-21 + -1u = 5 + u + -1u

Combine like terms: u + -1u = 0
-21 + -1u = 5 + 0
-21 + -1u = 5

Add '21' to each side of the equation.
-21 + 21 + -1u = 5 + 21

Combine like terms: -21 + 21 = 0
0 + -1u = 5 + 21
-1u = 5 + 21

Combine like terms: 5 + 21 = 26
-1u = 26

Divide each side by '-1'.
u = -26

Simplifying
u = -26