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

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Solution for 5(v+2)+v-3(v-1)+1= equation: 


Simplifying
5(v + 2) + v + -3(v + -1) + 1 = 0

Reorder the terms:
5(2 + v) + v + -3(v + -1) + 1 = 0
(2 * 5 + v * 5) + v + -3(v + -1) + 1 = 0
(10 + 5v) + v + -3(v + -1) + 1 = 0

Reorder the terms:
10 + 5v + v + -3(-1 + v) + 1 = 0
10 + 5v + v + (-1 * -3 + v * -3) + 1 = 0
10 + 5v + v + (3 + -3v) + 1 = 0

Reorder the terms:
10 + 3 + 1 + 5v + v + -3v = 0

Combine like terms: 10 + 3 = 13
13 + 1 + 5v + v + -3v = 0

Combine like terms: 13 + 1 = 14
14 + 5v + v + -3v = 0

Combine like terms: 5v + v = 6v
14 + 6v + -3v = 0

Combine like terms: 6v + -3v = 3v
14 + 3v = 0

Solving
14 + 3v = 0

Solving for variable 'v'.

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

Add '-14' to each side of the equation.
14 + -14 + 3v = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 3v = 0 + -14
3v = 0 + -14

Combine like terms: 0 + -14 = -14
3v = -14

Divide each side by '3'.
v = -4.666666667

Simplifying
v = -4.666666667

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