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

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


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

Reorder the terms:
3(4 + u) = -2(3u + -3) + u
(4 * 3 + u * 3) = -2(3u + -3) + u
(12 + 3u) = -2(3u + -3) + u

Reorder the terms:
12 + 3u = -2(-3 + 3u) + u
12 + 3u = (-3 * -2 + 3u * -2) + u
12 + 3u = (6 + -6u) + u

Combine like terms: -6u + u = -5u
12 + 3u = 6 + -5u

Solving
12 + 3u = 6 + -5u

Solving for variable 'u'.

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

Add '5u' to each side of the equation.
12 + 3u + 5u = 6 + -5u + 5u

Combine like terms: 3u + 5u = 8u
12 + 8u = 6 + -5u + 5u

Combine like terms: -5u + 5u = 0
12 + 8u = 6 + 0
12 + 8u = 6

Add '-12' to each side of the equation.
12 + -12 + 8u = 6 + -12

Combine like terms: 12 + -12 = 0
0 + 8u = 6 + -12
8u = 6 + -12

Combine like terms: 6 + -12 = -6
8u = -6

Divide each side by '8'.
u = -0.75

Simplifying
u = -0.75

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