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

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

Simplifying
3(v + 2) = 2(v + 5)

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

Reorder the terms:
6 + 3v = 2(5 + v)
6 + 3v = (5 * 2 + v * 2)
6 + 3v = (10 + 2v)

Solving
6 + 3v = 10 + 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.
6 + 3v + -2v = 10 + 2v + -2v

Combine like terms: 3v + -2v = 1v
6 + 1v = 10 + 2v + -2v

Combine like terms: 2v + -2v = 0
6 + 1v = 10 + 0
6 + 1v = 10

Add '-6' to each side of the equation.
6 + -6 + 1v = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 1v = 10 + -6
1v = 10 + -6

Combine like terms: 10 + -6 = 4
1v = 4

Divide each side by '1'.
v = 4

Simplifying
v = 4