3(2-u)-(-3)(u-3)=-(-3u-3)

Solution for 3(2-u)-(-3)(u-3)=-(-3u-3) equation:

Simplifying
3(2 + -1u) + -1(-3)(u + -3) = -1(-3u + -3)
(2 * 3 + -1u * 3) + -1(-3)(u + -3) = -1(-3u + -3)
(6 + -3u) + -1(-3)(u + -3) = -1(-3u + -3)

Reorder the terms:
6 + -3u + -1 * -3(-3 + u) = -1(-3u + -3)

Multiply -1 * -3
6 + -3u + 3(-3 + u) = -1(-3u + -3)
6 + -3u + (-3 * 3 + u * 3) = -1(-3u + -3)
6 + -3u + (-9 + 3u) = -1(-3u + -3)

Reorder the terms:
6 + -9 + -3u + 3u = -1(-3u + -3)

Combine like terms: 6 + -9 = -3
-3 + -3u + 3u = -1(-3u + -3)

Combine like terms: -3u + 3u = 0
-3 + 0 = -1(-3u + -3)
-3 = -1(-3u + -3)

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

Solving
-3 = 3 + 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.
-3 + -3u = 3 + 3u + -3u

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

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

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

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

Divide each side by '-3'.
u = -2

Simplifying
u = -2