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

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

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

Reorder the terms:
2v + 4 + -2(-1 + -5v) = 3(v + -3)
2v + 4 + (-1 * -2 + -5v * -2) = 3(v + -3)
2v + 4 + (2 + 10v) = 3(v + -3)

Reorder the terms:
4 + 2 + 2v + 10v = 3(v + -3)

Combine like terms: 4 + 2 = 6
6 + 2v + 10v = 3(v + -3)

Combine like terms: 2v + 10v = 12v
6 + 12v = 3(v + -3)

Reorder the terms:
6 + 12v = 3(-3 + v)
6 + 12v = (-3 * 3 + v * 3)
6 + 12v = (-9 + 3v)

Solving
6 + 12v = -9 + 3v

Solving for variable 'v'.

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

Add '-3v' to each side of the equation.
6 + 12v + -3v = -9 + 3v + -3v

Combine like terms: 12v + -3v = 9v
6 + 9v = -9 + 3v + -3v

Combine like terms: 3v + -3v = 0
6 + 9v = -9 + 0
6 + 9v = -9

Add '-6' to each side of the equation.
6 + -6 + 9v = -9 + -6

Combine like terms: 6 + -6 = 0
0 + 9v = -9 + -6
9v = -9 + -6

Combine like terms: -9 + -6 = -15
9v = -15

Divide each side by '9'.
v = -1.666666667

Simplifying
v = -1.666666667