5(3+5v)+6(-5v-5)=2v-8v

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Solution for 5(3+5v)+6(-5v-5)=2v-8v equation: 


Simplifying
5(3 + 5v) + 6(-5v + -5) = 2v + -8v
(3 * 5 + 5v * 5) + 6(-5v + -5) = 2v + -8v
(15 + 25v) + 6(-5v + -5) = 2v + -8v

Reorder the terms:
15 + 25v + 6(-5 + -5v) = 2v + -8v
15 + 25v + (-5 * 6 + -5v * 6) = 2v + -8v
15 + 25v + (-30 + -30v) = 2v + -8v

Reorder the terms:
15 + -30 + 25v + -30v = 2v + -8v

Combine like terms: 15 + -30 = -15
-15 + 25v + -30v = 2v + -8v

Combine like terms: 25v + -30v = -5v
-15 + -5v = 2v + -8v

Combine like terms: 2v + -8v = -6v
-15 + -5v = -6v

Solving
-15 + -5v = -6v

Solving for variable 'v'.

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

Add '6v' to each side of the equation.
-15 + -5v + 6v = -6v + 6v

Combine like terms: -5v + 6v = 1v
-15 + 1v = -6v + 6v

Combine like terms: -6v + 6v = 0
-15 + 1v = 0

Add '15' to each side of the equation.
-15 + 15 + 1v = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 1v = 0 + 15
1v = 0 + 15

Combine like terms: 0 + 15 = 15
1v = 15

Divide each side by '1'.
v = 15

Simplifying
v = 15

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