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

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


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

Reorder the terms:
6u + -6 + 2(4 + 3u) = -4(u + 3)
6u + -6 + (4 * 2 + 3u * 2) = -4(u + 3)
6u + -6 + (8 + 6u) = -4(u + 3)

Reorder the terms:
-6 + 8 + 6u + 6u = -4(u + 3)

Combine like terms: -6 + 8 = 2
2 + 6u + 6u = -4(u + 3)

Combine like terms: 6u + 6u = 12u
2 + 12u = -4(u + 3)

Reorder the terms:
2 + 12u = -4(3 + u)
2 + 12u = (3 * -4 + u * -4)
2 + 12u = (-12 + -4u)

Solving
2 + 12u = -12 + -4u

Solving for variable 'u'.

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

Add '4u' to each side of the equation.
2 + 12u + 4u = -12 + -4u + 4u

Combine like terms: 12u + 4u = 16u
2 + 16u = -12 + -4u + 4u

Combine like terms: -4u + 4u = 0
2 + 16u = -12 + 0
2 + 16u = -12

Add '-2' to each side of the equation.
2 + -2 + 16u = -12 + -2

Combine like terms: 2 + -2 = 0
0 + 16u = -12 + -2
16u = -12 + -2

Combine like terms: -12 + -2 = -14
16u = -14

Divide each side by '16'.
u = -0.875

Simplifying
u = -0.875

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