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

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


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

Reorder the terms:
3u + 7 + -3(-1 + -5u) = 2(u + -1)
3u + 7 + (-1 * -3 + -5u * -3) = 2(u + -1)
3u + 7 + (3 + 15u) = 2(u + -1)

Reorder the terms:
7 + 3 + 3u + 15u = 2(u + -1)

Combine like terms: 7 + 3 = 10
10 + 3u + 15u = 2(u + -1)

Combine like terms: 3u + 15u = 18u
10 + 18u = 2(u + -1)

Reorder the terms:
10 + 18u = 2(-1 + u)
10 + 18u = (-1 * 2 + u * 2)
10 + 18u = (-2 + 2u)

Solving
10 + 18u = -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.
10 + 18u + -2u = -2 + 2u + -2u

Combine like terms: 18u + -2u = 16u
10 + 16u = -2 + 2u + -2u

Combine like terms: 2u + -2u = 0
10 + 16u = -2 + 0
10 + 16u = -2

Add '-10' to each side of the equation.
10 + -10 + 16u = -2 + -10

Combine like terms: 10 + -10 = 0
0 + 16u = -2 + -10
16u = -2 + -10

Combine like terms: -2 + -10 = -12
16u = -12

Divide each side by '16'.
u = -0.75

Simplifying
u = -0.75

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