3u+5-2(-7u-3)=5(u-1)

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Solution for 3u+5-2(-7u-3)=5(u-1) equation: 


Simplifying
3u + 5 + -2(-7u + -3) = 5(u + -1)

Reorder the terms:
3u + 5 + -2(-3 + -7u) = 5(u + -1)
3u + 5 + (-3 * -2 + -7u * -2) = 5(u + -1)
3u + 5 + (6 + 14u) = 5(u + -1)

Reorder the terms:
5 + 6 + 3u + 14u = 5(u + -1)

Combine like terms: 5 + 6 = 11
11 + 3u + 14u = 5(u + -1)

Combine like terms: 3u + 14u = 17u
11 + 17u = 5(u + -1)

Reorder the terms:
11 + 17u = 5(-1 + u)
11 + 17u = (-1 * 5 + u * 5)
11 + 17u = (-5 + 5u)

Solving
11 + 17u = -5 + 5u

Solving for variable 'u'.

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

Add '-5u' to each side of the equation.
11 + 17u + -5u = -5 + 5u + -5u

Combine like terms: 17u + -5u = 12u
11 + 12u = -5 + 5u + -5u

Combine like terms: 5u + -5u = 0
11 + 12u = -5 + 0
11 + 12u = -5

Add '-11' to each side of the equation.
11 + -11 + 12u = -5 + -11

Combine like terms: 11 + -11 = 0
0 + 12u = -5 + -11
12u = -5 + -11

Combine like terms: -5 + -11 = -16
12u = -16

Divide each side by '12'.
u = -1.333333333

Simplifying
u = -1.333333333

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