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

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

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

Reorder the terms:
2v + -4 + 2(5 + 4v) = -2(v + 5)
2v + -4 + (5 * 2 + 4v * 2) = -2(v + 5)
2v + -4 + (10 + 8v) = -2(v + 5)

Reorder the terms:
-4 + 10 + 2v + 8v = -2(v + 5)

Combine like terms: -4 + 10 = 6
6 + 2v + 8v = -2(v + 5)

Combine like terms: 2v + 8v = 10v
6 + 10v = -2(v + 5)

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

Solving
6 + 10v = -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 + 10v + 2v = -10 + -2v + 2v

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

Combine like terms: -2v + 2v = 0
6 + 12v = -10 + 0
6 + 12v = -10

Add '-6' to each side of the equation.
6 + -6 + 12v = -10 + -6

Combine like terms: 6 + -6 = 0
0 + 12v = -10 + -6
12v = -10 + -6

Combine like terms: -10 + -6 = -16
12v = -16

Divide each side by '12'.
v = -1.333333333

Simplifying
v = -1.333333333