3(4v-2)=2(8v)

Solution for 3(4v-2)=2(8v) equation:

Simplifying
3(4v + -2) = 2(8v)

Reorder the terms:
3(-2 + 4v) = 2(8v)
(-2 * 3 + 4v * 3) = 2(8v)
(-6 + 12v) = 2(8v)

Remove parenthesis around (8v)
-6 + 12v = 2 * 8v

Multiply 2 * 8
-6 + 12v = 16v

Solving
-6 + 12v = 16v

Solving for variable 'v'.

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

Add '-16v' to each side of the equation.
-6 + 12v + -16v = 16v + -16v

Combine like terms: 12v + -16v = -4v
-6 + -4v = 16v + -16v

Combine like terms: 16v + -16v = 0
-6 + -4v = 0

Add '6' to each side of the equation.
-6 + 6 + -4v = 0 + 6

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

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

Divide each side by '-4'.
v = -1.5

Simplifying
v = -1.5