6(u+4)=-3(2u-3)+6u

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Solution for 6(u+4)=-3(2u-3)+6u equation: 


Simplifying
6(u + 4) = -3(2u + -3) + 6u

Reorder the terms:
6(4 + u) = -3(2u + -3) + 6u
(4 * 6 + u * 6) = -3(2u + -3) + 6u
(24 + 6u) = -3(2u + -3) + 6u

Reorder the terms:
24 + 6u = -3(-3 + 2u) + 6u
24 + 6u = (-3 * -3 + 2u * -3) + 6u
24 + 6u = (9 + -6u) + 6u

Combine like terms: -6u + 6u = 0
24 + 6u = 9 + 0
24 + 6u = 9

Solving
24 + 6u = 9

Solving for variable 'u'.

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

Add '-24' to each side of the equation.
24 + -24 + 6u = 9 + -24

Combine like terms: 24 + -24 = 0
0 + 6u = 9 + -24
6u = 9 + -24

Combine like terms: 9 + -24 = -15
6u = -15

Divide each side by '6'.
u = -2.5

Simplifying
u = -2.5

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