4v-6+3(2v+2)=-2(v+5)

Solution for 4v-6+3(2v+2)=-2(v+5) equation:

Simplifying
4v + -6 + 3(2v + 2) = -2(v + 5)

Reorder the terms:
4v + -6 + 3(2 + 2v) = -2(v + 5)
4v + -6 + (2 * 3 + 2v * 3) = -2(v + 5)
4v + -6 + (6 + 6v) = -2(v + 5)

Reorder the terms:
-6 + 6 + 4v + 6v = -2(v + 5)

Combine like terms: -6 + 6 = 0
0 + 4v + 6v = -2(v + 5)
4v + 6v = -2(v + 5)

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

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

Solving
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.
10v + 2v = -10 + -2v + 2v

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

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

Divide each side by '12'.
v = -0.8333333333

Simplifying
v = -0.8333333333