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

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

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

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

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

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

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

Reorder the terms:
3 + 10v = -2(6 + v)
3 + 10v = (6 * -2 + v * -2)
3 + 10v = (-12 + -2v)

Solving
3 + 10v = -12 + -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.
3 + 10v + 2v = -12 + -2v + 2v

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

Combine like terms: -2v + 2v = 0
3 + 12v = -12 + 0
3 + 12v = -12

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

Combine like terms: 3 + -3 = 0
0 + 12v = -12 + -3
12v = -12 + -3

Combine like terms: -12 + -3 = -15
12v = -15

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

Simplifying
v = -1.25