3v+2=7v-6

Solution for 3v+2=7v-6 equation:

Simplifying
3v + 2 = 7v + -6

Reorder the terms:
2 + 3v = 7v + -6

Reorder the terms:
2 + 3v = -6 + 7v

Solving
2 + 3v = -6 + 7v

Solving for variable 'v'.

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

Add '-7v' to each side of the equation.
2 + 3v + -7v = -6 + 7v + -7v

Combine like terms: 3v + -7v = -4v
2 + -4v = -6 + 7v + -7v

Combine like terms: 7v + -7v = 0
2 + -4v = -6 + 0
2 + -4v = -6

Add '-2' to each side of the equation.
2 + -2 + -4v = -6 + -2

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

Combine like terms: -6 + -2 = -8
-4v = -8

Divide each side by '-4'.
v = 2

Simplifying
v = 2