5v+1-3(-4v-3)=5(v-1)

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


Simplifying
5v + 1 + -3(-4v + -3) = 5(v + -1)

Reorder the terms:
5v + 1 + -3(-3 + -4v) = 5(v + -1)
5v + 1 + (-3 * -3 + -4v * -3) = 5(v + -1)
5v + 1 + (9 + 12v) = 5(v + -1)

Reorder the terms:
1 + 9 + 5v + 12v = 5(v + -1)

Combine like terms: 1 + 9 = 10
10 + 5v + 12v = 5(v + -1)

Combine like terms: 5v + 12v = 17v
10 + 17v = 5(v + -1)

Reorder the terms:
10 + 17v = 5(-1 + v)
10 + 17v = (-1 * 5 + v * 5)
10 + 17v = (-5 + 5v)

Solving
10 + 17v = -5 + 5v

Solving for variable 'v'.

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

Add '-5v' to each side of the equation.
10 + 17v + -5v = -5 + 5v + -5v

Combine like terms: 17v + -5v = 12v
10 + 12v = -5 + 5v + -5v

Combine like terms: 5v + -5v = 0
10 + 12v = -5 + 0
10 + 12v = -5

Add '-10' to each side of the equation.
10 + -10 + 12v = -5 + -10

Combine like terms: 10 + -10 = 0
0 + 12v = -5 + -10
12v = -5 + -10

Combine like terms: -5 + -10 = -15
12v = -15

Divide each side by '12'.
v = -1.25

Simplifying
v = -1.25

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