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

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

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

Reorder the terms:
2(-3 + v) = 3(4 + -1v)
(-3 * 2 + v * 2) = 3(4 + -1v)
(-6 + 2v) = 3(4 + -1v)
-6 + 2v = (4 * 3 + -1v * 3)
-6 + 2v = (12 + -3v)

Solving
-6 + 2v = 12 + -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 = 12 + -3v + 3v

Combine like terms: 2v + 3v = 5v
-6 + 5v = 12 + -3v + 3v

Combine like terms: -3v + 3v = 0
-6 + 5v = 12 + 0
-6 + 5v = 12

Add '6' to each side of the equation.
-6 + 6 + 5v = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 5v = 12 + 6
5v = 12 + 6

Combine like terms: 12 + 6 = 18
5v = 18

Divide each side by '5'.
v = 3.6

Simplifying
v = 3.6