3u+7-4(-2u-2)=3(u-1)

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Solution for 3u+7-4(-2u-2)=3(u-1) equation:


Simplifying
3u + 7 + -4(-2u + -2) = 3(u + -1)

Reorder the terms:
3u + 7 + -4(-2 + -2u) = 3(u + -1)
3u + 7 + (-2 * -4 + -2u * -4) = 3(u + -1)
3u + 7 + (8 + 8u) = 3(u + -1)

Reorder the terms:
7 + 8 + 3u + 8u = 3(u + -1)

Combine like terms: 7 + 8 = 15
15 + 3u + 8u = 3(u + -1)

Combine like terms: 3u + 8u = 11u
15 + 11u = 3(u + -1)

Reorder the terms:
15 + 11u = 3(-1 + u)
15 + 11u = (-1 * 3 + u * 3)
15 + 11u = (-3 + 3u)

Solving
15 + 11u = -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.
15 + 11u + -3u = -3 + 3u + -3u

Combine like terms: 11u + -3u = 8u
15 + 8u = -3 + 3u + -3u

Combine like terms: 3u + -3u = 0
15 + 8u = -3 + 0
15 + 8u = -3

Add '-15' to each side of the equation.
15 + -15 + 8u = -3 + -15

Combine like terms: 15 + -15 = 0
0 + 8u = -3 + -15
8u = -3 + -15

Combine like terms: -3 + -15 = -18
8u = -18

Divide each side by '8'.
u = -2.25

Simplifying
u = -2.25

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