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

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


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

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

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

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

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

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

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

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

Combine like terms: 6 + 12 = 18
4v = 18

Divide each side by '4'.
v = 4.5

Simplifying
v = 4.5

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