3(1+3v)+3v=5(v+1)+5

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Solution for 3(1+3v)+3v=5(v+1)+5 equation: 


Simplifying
3(1 + 3v) + 3v = 5(v + 1) + 5
(1 * 3 + 3v * 3) + 3v = 5(v + 1) + 5
(3 + 9v) + 3v = 5(v + 1) + 5

Combine like terms: 9v + 3v = 12v
3 + 12v = 5(v + 1) + 5

Reorder the terms:
3 + 12v = 5(1 + v) + 5
3 + 12v = (1 * 5 + v * 5) + 5
3 + 12v = (5 + 5v) + 5

Reorder the terms:
3 + 12v = 5 + 5 + 5v

Combine like terms: 5 + 5 = 10
3 + 12v = 10 + 5v

Solving
3 + 12v = 10 + 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.
3 + 12v + -5v = 10 + 5v + -5v

Combine like terms: 12v + -5v = 7v
3 + 7v = 10 + 5v + -5v

Combine like terms: 5v + -5v = 0
3 + 7v = 10 + 0
3 + 7v = 10

Add '-3' to each side of the equation.
3 + -3 + 7v = 10 + -3

Combine like terms: 3 + -3 = 0
0 + 7v = 10 + -3
7v = 10 + -3

Combine like terms: 10 + -3 = 7
7v = 7

Divide each side by '7'.
v = 1

Simplifying
v = 1

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