2v+6=3v-3

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

Simplifying
2v + 6 = 3v + -3

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

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

Solving
6 + 2v = -3 + 3v

Solving for variable 'v'.

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

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

Combine like terms: 2v + -3v = -1v
6 + -1v = -3 + 3v + -3v

Combine like terms: 3v + -3v = 0
6 + -1v = -3 + 0
6 + -1v = -3

Add '-6' to each side of the equation.
6 + -6 + -1v = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -1v = -3 + -6
-1v = -3 + -6

Combine like terms: -3 + -6 = -9
-1v = -9

Divide each side by '-1'.
v = 9

Simplifying
v = 9