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

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


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

Reorder the terms:
3(2 + 3u) + 5 = 2(2u + -2)
(2 * 3 + 3u * 3) + 5 = 2(2u + -2)
(6 + 9u) + 5 = 2(2u + -2)

Reorder the terms:
6 + 5 + 9u = 2(2u + -2)

Combine like terms: 6 + 5 = 11
11 + 9u = 2(2u + -2)

Reorder the terms:
11 + 9u = 2(-2 + 2u)
11 + 9u = (-2 * 2 + 2u * 2)
11 + 9u = (-4 + 4u)

Solving
11 + 9u = -4 + 4u

Solving for variable 'u'.

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

Add '-4u' to each side of the equation.
11 + 9u + -4u = -4 + 4u + -4u

Combine like terms: 9u + -4u = 5u
11 + 5u = -4 + 4u + -4u

Combine like terms: 4u + -4u = 0
11 + 5u = -4 + 0
11 + 5u = -4

Add '-11' to each side of the equation.
11 + -11 + 5u = -4 + -11

Combine like terms: 11 + -11 = 0
0 + 5u = -4 + -11
5u = -4 + -11

Combine like terms: -4 + -11 = -15
5u = -15

Divide each side by '5'.
u = -3

Simplifying
u = -3

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