7(u+1)=-2(3u-6)+3u

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Solution for 7(u+1)=-2(3u-6)+3u equation: 


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

Reorder the terms:
7(1 + u) = -2(3u + -6) + 3u
(1 * 7 + u * 7) = -2(3u + -6) + 3u
(7 + 7u) = -2(3u + -6) + 3u

Reorder the terms:
7 + 7u = -2(-6 + 3u) + 3u
7 + 7u = (-6 * -2 + 3u * -2) + 3u
7 + 7u = (12 + -6u) + 3u

Combine like terms: -6u + 3u = -3u
7 + 7u = 12 + -3u

Solving
7 + 7u = 12 + -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.
7 + 7u + 3u = 12 + -3u + 3u

Combine like terms: 7u + 3u = 10u
7 + 10u = 12 + -3u + 3u

Combine like terms: -3u + 3u = 0
7 + 10u = 12 + 0
7 + 10u = 12

Add '-7' to each side of the equation.
7 + -7 + 10u = 12 + -7

Combine like terms: 7 + -7 = 0
0 + 10u = 12 + -7
10u = 12 + -7

Combine like terms: 12 + -7 = 5
10u = 5

Divide each side by '10'.
u = 0.5

Simplifying
u = 0.5

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