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

Combine like terms: 2 + 5 = 7
3(7 + 3u) = 2(2u + -2)
(7 * 3 + 3u * 3) = 2(2u + -2)
(21 + 9u) = 2(2u + -2)

Reorder the terms:
21 + 9u = 2(-2 + 2u)
21 + 9u = (-2 * 2 + 2u * 2)
21 + 9u = (-4 + 4u)

Solving
21 + 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.
21 + 9u + -4u = -4 + 4u + -4u

Combine like terms: 9u + -4u = 5u
21 + 5u = -4 + 4u + -4u

Combine like terms: 4u + -4u = 0
21 + 5u = -4 + 0
21 + 5u = -4

Add '-21' to each side of the equation.
21 + -21 + 5u = -4 + -21

Combine like terms: 21 + -21 = 0
0 + 5u = -4 + -21
5u = -4 + -21

Combine like terms: -4 + -21 = -25
5u = -25

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

Simplifying
u = -5

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