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

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

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

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

Reorder the terms:
1 + 5 + v + 15v = 2(v + -5)

Combine like terms: 1 + 5 = 6
6 + v + 15v = 2(v + -5)

Combine like terms: v + 15v = 16v
6 + 16v = 2(v + -5)

Reorder the terms:
6 + 16v = 2(-5 + v)
6 + 16v = (-5 * 2 + v * 2)
6 + 16v = (-10 + 2v)

Solving
6 + 16v = -10 + 2v

Solving for variable 'v'.

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

Add '-2v' to each side of the equation.
6 + 16v + -2v = -10 + 2v + -2v

Combine like terms: 16v + -2v = 14v
6 + 14v = -10 + 2v + -2v

Combine like terms: 2v + -2v = 0
6 + 14v = -10 + 0
6 + 14v = -10

Add '-6' to each side of the equation.
6 + -6 + 14v = -10 + -6

Combine like terms: 6 + -6 = 0
0 + 14v = -10 + -6
14v = -10 + -6

Combine like terms: -10 + -6 = -16
14v = -16

Divide each side by '14'.
v = -1.142857143

Simplifying
v = -1.142857143