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

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


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

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

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

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

Combine like terms: 2u + 8u = 10u
2 + 10u = -2(u + 6)

Reorder the terms:
2 + 10u = -2(6 + u)
2 + 10u = (6 * -2 + u * -2)
2 + 10u = (-12 + -2u)

Solving
2 + 10u = -12 + -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.
2 + 10u + 2u = -12 + -2u + 2u

Combine like terms: 10u + 2u = 12u
2 + 12u = -12 + -2u + 2u

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

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

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

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

Divide each side by '12'.
u = -1.166666667

Simplifying
u = -1.166666667

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