3(u+9)=8u-8

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Solution for 3(u+9)=8u-8 equation:


Simplifying
3(u + 9) = 8u + -8

Reorder the terms:
3(9 + u) = 8u + -8
(9 * 3 + u * 3) = 8u + -8
(27 + 3u) = 8u + -8

Reorder the terms:
27 + 3u = -8 + 8u

Solving
27 + 3u = -8 + 8u

Solving for variable 'u'.

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

Add '-8u' to each side of the equation.
27 + 3u + -8u = -8 + 8u + -8u

Combine like terms: 3u + -8u = -5u
27 + -5u = -8 + 8u + -8u

Combine like terms: 8u + -8u = 0
27 + -5u = -8 + 0
27 + -5u = -8

Add '-27' to each side of the equation.
27 + -27 + -5u = -8 + -27

Combine like terms: 27 + -27 = 0
0 + -5u = -8 + -27
-5u = -8 + -27

Combine like terms: -8 + -27 = -35
-5u = -35

Divide each side by '-5'.
u = 7

Simplifying
u = 7

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