3(v+2)+2v=7(v+1)+9

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Solution for 3(v+2)+2v=7(v+1)+9 equation:


Simplifying
3(v + 2) + 2v = 7(v + 1) + 9

Reorder the terms:
3(2 + v) + 2v = 7(v + 1) + 9
(2 * 3 + v * 3) + 2v = 7(v + 1) + 9
(6 + 3v) + 2v = 7(v + 1) + 9

Combine like terms: 3v + 2v = 5v
6 + 5v = 7(v + 1) + 9

Reorder the terms:
6 + 5v = 7(1 + v) + 9
6 + 5v = (1 * 7 + v * 7) + 9
6 + 5v = (7 + 7v) + 9

Reorder the terms:
6 + 5v = 7 + 9 + 7v

Combine like terms: 7 + 9 = 16
6 + 5v = 16 + 7v

Solving
6 + 5v = 16 + 7v

Solving for variable 'v'.

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

Add '-7v' to each side of the equation.
6 + 5v + -7v = 16 + 7v + -7v

Combine like terms: 5v + -7v = -2v
6 + -2v = 16 + 7v + -7v

Combine like terms: 7v + -7v = 0
6 + -2v = 16 + 0
6 + -2v = 16

Add '-6' to each side of the equation.
6 + -6 + -2v = 16 + -6

Combine like terms: 6 + -6 = 0
0 + -2v = 16 + -6
-2v = 16 + -6

Combine like terms: 16 + -6 = 10
-2v = 10

Divide each side by '-2'.
v = -5

Simplifying
v = -5

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