6(u+2)=-3(3u-5)+9u

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Solution for 6(u+2)=-3(3u-5)+9u equation:


Simplifying
6(u + 2) = -3(3u + -5) + 9u

Reorder the terms:
6(2 + u) = -3(3u + -5) + 9u
(2 * 6 + u * 6) = -3(3u + -5) + 9u
(12 + 6u) = -3(3u + -5) + 9u

Reorder the terms:
12 + 6u = -3(-5 + 3u) + 9u
12 + 6u = (-5 * -3 + 3u * -3) + 9u
12 + 6u = (15 + -9u) + 9u

Combine like terms: -9u + 9u = 0
12 + 6u = 15 + 0
12 + 6u = 15

Solving
12 + 6u = 15

Solving for variable 'u'.

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

Add '-12' to each side of the equation.
12 + -12 + 6u = 15 + -12

Combine like terms: 12 + -12 = 0
0 + 6u = 15 + -12
6u = 15 + -12

Combine like terms: 15 + -12 = 3
6u = 3

Divide each side by '6'.
u = 0.5

Simplifying
u = 0.5

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