5v-38=2(7-4v)

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Solution for 5v-38=2(7-4v) equation:


Simplifying
5v + -38 = 2(7 + -4v)

Reorder the terms:
-38 + 5v = 2(7 + -4v)
-38 + 5v = (7 * 2 + -4v * 2)
-38 + 5v = (14 + -8v)

Solving
-38 + 5v = 14 + -8v

Solving for variable 'v'.

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

Add '8v' to each side of the equation.
-38 + 5v + 8v = 14 + -8v + 8v

Combine like terms: 5v + 8v = 13v
-38 + 13v = 14 + -8v + 8v

Combine like terms: -8v + 8v = 0
-38 + 13v = 14 + 0
-38 + 13v = 14

Add '38' to each side of the equation.
-38 + 38 + 13v = 14 + 38

Combine like terms: -38 + 38 = 0
0 + 13v = 14 + 38
13v = 14 + 38

Combine like terms: 14 + 38 = 52
13v = 52

Divide each side by '13'.
v = 4

Simplifying
v = 4

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