7(v+3)=5(v+7)

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Solution for 7(v+3)=5(v+7) equation:


Simplifying
7(v + 3) = 5(v + 7)

Reorder the terms:
7(3 + v) = 5(v + 7)
(3 * 7 + v * 7) = 5(v + 7)
(21 + 7v) = 5(v + 7)

Reorder the terms:
21 + 7v = 5(7 + v)
21 + 7v = (7 * 5 + v * 5)
21 + 7v = (35 + 5v)

Solving
21 + 7v = 35 + 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.
21 + 7v + -5v = 35 + 5v + -5v

Combine like terms: 7v + -5v = 2v
21 + 2v = 35 + 5v + -5v

Combine like terms: 5v + -5v = 0
21 + 2v = 35 + 0
21 + 2v = 35

Add '-21' to each side of the equation.
21 + -21 + 2v = 35 + -21

Combine like terms: 21 + -21 = 0
0 + 2v = 35 + -21
2v = 35 + -21

Combine like terms: 35 + -21 = 14
2v = 14

Divide each side by '2'.
v = 7

Simplifying
v = 7

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