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

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

Simplifying
3(v + 2) + -5v = 4(3 + -1v)

Reorder the terms:
3(2 + v) + -5v = 4(3 + -1v)
(2 * 3 + v * 3) + -5v = 4(3 + -1v)
(6 + 3v) + -5v = 4(3 + -1v)

Combine like terms: 3v + -5v = -2v
6 + -2v = 4(3 + -1v)
6 + -2v = (3 * 4 + -1v * 4)
6 + -2v = (12 + -4v)

Solving
6 + -2v = 12 + -4v

Solving for variable 'v'.

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

Add '4v' to each side of the equation.
6 + -2v + 4v = 12 + -4v + 4v

Combine like terms: -2v + 4v = 2v
6 + 2v = 12 + -4v + 4v

Combine like terms: -4v + 4v = 0
6 + 2v = 12 + 0
6 + 2v = 12

Add '-6' to each side of the equation.
6 + -6 + 2v = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 2v = 12 + -6
2v = 12 + -6

Combine like terms: 12 + -6 = 6
2v = 6

Divide each side by '2'.
v = 3

Simplifying
v = 3