5(v+2)+3(v-5)=19

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Solution for 5(v+2)+3(v-5)=19 equation: 


Simplifying
5(v + 2) + 3(v + -5) = 19

Reorder the terms:
5(2 + v) + 3(v + -5) = 19
(2 * 5 + v * 5) + 3(v + -5) = 19
(10 + 5v) + 3(v + -5) = 19

Reorder the terms:
10 + 5v + 3(-5 + v) = 19
10 + 5v + (-5 * 3 + v * 3) = 19
10 + 5v + (-15 + 3v) = 19

Reorder the terms:
10 + -15 + 5v + 3v = 19

Combine like terms: 10 + -15 = -5
-5 + 5v + 3v = 19

Combine like terms: 5v + 3v = 8v
-5 + 8v = 19

Solving
-5 + 8v = 19

Solving for variable 'v'.

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

Add '5' to each side of the equation.
-5 + 5 + 8v = 19 + 5

Combine like terms: -5 + 5 = 0
0 + 8v = 19 + 5
8v = 19 + 5

Combine like terms: 19 + 5 = 24
8v = 24

Divide each side by '8'.
v = 3

Simplifying
v = 3

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