5v-31=2(v-5)

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Solution for 5v-31=2(v-5) equation:


Simplifying
5v + -31 = 2(v + -5)

Reorder the terms:
-31 + 5v = 2(v + -5)

Reorder the terms:
-31 + 5v = 2(-5 + v)
-31 + 5v = (-5 * 2 + v * 2)
-31 + 5v = (-10 + 2v)

Solving
-31 + 5v = -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.
-31 + 5v + -2v = -10 + 2v + -2v

Combine like terms: 5v + -2v = 3v
-31 + 3v = -10 + 2v + -2v

Combine like terms: 2v + -2v = 0
-31 + 3v = -10 + 0
-31 + 3v = -10

Add '31' to each side of the equation.
-31 + 31 + 3v = -10 + 31

Combine like terms: -31 + 31 = 0
0 + 3v = -10 + 31
3v = -10 + 31

Combine like terms: -10 + 31 = 21
3v = 21

Divide each side by '3'.
v = 7

Simplifying
v = 7

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