-2(v+3)=7v-5+2(3v+1)

Solution for -2(v+3)=7v-5+2(3v+1) equation:

Simplifying
-2(v + 3) = 7v + -5 + 2(3v + 1)

Reorder the terms:
-2(3 + v) = 7v + -5 + 2(3v + 1)
(3 * -2 + v * -2) = 7v + -5 + 2(3v + 1)
(-6 + -2v) = 7v + -5 + 2(3v + 1)

Reorder the terms:
-6 + -2v = 7v + -5 + 2(1 + 3v)
-6 + -2v = 7v + -5 + (1 * 2 + 3v * 2)
-6 + -2v = 7v + -5 + (2 + 6v)

Reorder the terms:
-6 + -2v = -5 + 2 + 7v + 6v

Combine like terms: -5 + 2 = -3
-6 + -2v = -3 + 7v + 6v

Combine like terms: 7v + 6v = 13v
-6 + -2v = -3 + 13v

Solving
-6 + -2v = -3 + 13v

Solving for variable 'v'.

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

Add '-13v' to each side of the equation.
-6 + -2v + -13v = -3 + 13v + -13v

Combine like terms: -2v + -13v = -15v
-6 + -15v = -3 + 13v + -13v

Combine like terms: 13v + -13v = 0
-6 + -15v = -3 + 0
-6 + -15v = -3

Add '6' to each side of the equation.
-6 + 6 + -15v = -3 + 6

Combine like terms: -6 + 6 = 0
0 + -15v = -3 + 6
-15v = -3 + 6

Combine like terms: -3 + 6 = 3
-15v = 3

Divide each side by '-15'.
v = -0.2

Simplifying
v = -0.2