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

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


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

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

Reorder the terms:
2 + 7 + 2v = 3(v + -2) + 2v

Combine like terms: 2 + 7 = 9
9 + 2v = 3(v + -2) + 2v

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

Combine like terms: 3v + 2v = 5v
9 + 2v = -6 + 5v

Solving
9 + 2v = -6 + 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.
9 + 2v + -5v = -6 + 5v + -5v

Combine like terms: 2v + -5v = -3v
9 + -3v = -6 + 5v + -5v

Combine like terms: 5v + -5v = 0
9 + -3v = -6 + 0
9 + -3v = -6

Add '-9' to each side of the equation.
9 + -9 + -3v = -6 + -9

Combine like terms: 9 + -9 = 0
0 + -3v = -6 + -9
-3v = -6 + -9

Combine like terms: -6 + -9 = -15
-3v = -15

Divide each side by '-3'.
v = 5

Simplifying
v = 5

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