5u+1-4(-2u-2)=3(u-1)

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Solution for 5u+1-4(-2u-2)=3(u-1) equation:


Simplifying
5u + 1 + -4(-2u + -2) = 3(u + -1)

Reorder the terms:
5u + 1 + -4(-2 + -2u) = 3(u + -1)
5u + 1 + (-2 * -4 + -2u * -4) = 3(u + -1)
5u + 1 + (8 + 8u) = 3(u + -1)

Reorder the terms:
1 + 8 + 5u + 8u = 3(u + -1)

Combine like terms: 1 + 8 = 9
9 + 5u + 8u = 3(u + -1)

Combine like terms: 5u + 8u = 13u
9 + 13u = 3(u + -1)

Reorder the terms:
9 + 13u = 3(-1 + u)
9 + 13u = (-1 * 3 + u * 3)
9 + 13u = (-3 + 3u)

Solving
9 + 13u = -3 + 3u

Solving for variable 'u'.

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

Add '-3u' to each side of the equation.
9 + 13u + -3u = -3 + 3u + -3u

Combine like terms: 13u + -3u = 10u
9 + 10u = -3 + 3u + -3u

Combine like terms: 3u + -3u = 0
9 + 10u = -3 + 0
9 + 10u = -3

Add '-9' to each side of the equation.
9 + -9 + 10u = -3 + -9

Combine like terms: 9 + -9 = 0
0 + 10u = -3 + -9
10u = -3 + -9

Combine like terms: -3 + -9 = -12
10u = -12

Divide each side by '10'.
u = -1.2

Simplifying
u = -1.2

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