13-(2v+2)=2(v+2)+3v

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Solution for 13-(2v+2)=2(v+2)+3v equation: 


Simplifying
13 + -1(2v + 2) = 2(v + 2) + 3v

Reorder the terms:
13 + -1(2 + 2v) = 2(v + 2) + 3v
13 + (2 * -1 + 2v * -1) = 2(v + 2) + 3v
13 + (-2 + -2v) = 2(v + 2) + 3v

Combine like terms: 13 + -2 = 11
11 + -2v = 2(v + 2) + 3v

Reorder the terms:
11 + -2v = 2(2 + v) + 3v
11 + -2v = (2 * 2 + v * 2) + 3v
11 + -2v = (4 + 2v) + 3v

Combine like terms: 2v + 3v = 5v
11 + -2v = 4 + 5v

Solving
11 + -2v = 4 + 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.
11 + -2v + -5v = 4 + 5v + -5v

Combine like terms: -2v + -5v = -7v
11 + -7v = 4 + 5v + -5v

Combine like terms: 5v + -5v = 0
11 + -7v = 4 + 0
11 + -7v = 4

Add '-11' to each side of the equation.
11 + -11 + -7v = 4 + -11

Combine like terms: 11 + -11 = 0
0 + -7v = 4 + -11
-7v = 4 + -11

Combine like terms: 4 + -11 = -7
-7v = -7

Divide each side by '-7'.
v = 1

Simplifying
v = 1

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