2(v+2)=5v+31

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


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

Reorder the terms:
2(2 + v) = 5v + 31
(2 * 2 + v * 2) = 5v + 31
(4 + 2v) = 5v + 31

Reorder the terms:
4 + 2v = 31 + 5v

Solving
4 + 2v = 31 + 5v

Solving for variable 'v'.

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

Add '-5v' to each side of the equation.
4 + 2v + -5v = 31 + 5v + -5v

Combine like terms: 2v + -5v = -3v
4 + -3v = 31 + 5v + -5v

Combine like terms: 5v + -5v = 0
4 + -3v = 31 + 0
4 + -3v = 31

Add '-4' to each side of the equation.
4 + -4 + -3v = 31 + -4

Combine like terms: 4 + -4 = 0
0 + -3v = 31 + -4
-3v = 31 + -4

Combine like terms: 31 + -4 = 27
-3v = 27

Divide each side by '-3'.
v = -9

Simplifying
v = -9

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