6(u+4)=-3(3u-6)+7u

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Solution for 6(u+4)=-3(3u-6)+7u equation:


Simplifying
6(u + 4) = -3(3u + -6) + 7u

Reorder the terms:
6(4 + u) = -3(3u + -6) + 7u
(4 * 6 + u * 6) = -3(3u + -6) + 7u
(24 + 6u) = -3(3u + -6) + 7u

Reorder the terms:
24 + 6u = -3(-6 + 3u) + 7u
24 + 6u = (-6 * -3 + 3u * -3) + 7u
24 + 6u = (18 + -9u) + 7u

Combine like terms: -9u + 7u = -2u
24 + 6u = 18 + -2u

Solving
24 + 6u = 18 + -2u

Solving for variable 'u'.

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

Add '2u' to each side of the equation.
24 + 6u + 2u = 18 + -2u + 2u

Combine like terms: 6u + 2u = 8u
24 + 8u = 18 + -2u + 2u

Combine like terms: -2u + 2u = 0
24 + 8u = 18 + 0
24 + 8u = 18

Add '-24' to each side of the equation.
24 + -24 + 8u = 18 + -24

Combine like terms: 24 + -24 = 0
0 + 8u = 18 + -24
8u = 18 + -24

Combine like terms: 18 + -24 = -6
8u = -6

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

Simplifying
u = -0.75

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