6u-8+2(4u+5)=-2(u+1)

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Solution for 6u-8+2(4u+5)=-2(u+1) equation:


Simplifying
6u + -8 + 2(4u + 5) = -2(u + 1)

Reorder the terms:
6u + -8 + 2(5 + 4u) = -2(u + 1)
6u + -8 + (5 * 2 + 4u * 2) = -2(u + 1)
6u + -8 + (10 + 8u) = -2(u + 1)

Reorder the terms:
-8 + 10 + 6u + 8u = -2(u + 1)

Combine like terms: -8 + 10 = 2
2 + 6u + 8u = -2(u + 1)

Combine like terms: 6u + 8u = 14u
2 + 14u = -2(u + 1)

Reorder the terms:
2 + 14u = -2(1 + u)
2 + 14u = (1 * -2 + u * -2)
2 + 14u = (-2 + -2u)

Solving
2 + 14u = -2 + -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 + 14u + 2u = -2 + -2u + 2u

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

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

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

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

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

Divide each side by '16'.
u = -0.25

Simplifying
u = -0.25

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