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

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


Simplifying
-2(-5v + 5) = 5[2v + 3(v + 1)]

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

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

Reorder the terms:
-10 + 10v = 5[3 + 2v + 3v]

Combine like terms: 2v + 3v = 5v
-10 + 10v = 5[3 + 5v]
-10 + 10v = [3 * 5 + 5v * 5]
-10 + 10v = [15 + 25v]

Solving
-10 + 10v = 15 + 25v

Solving for variable 'v'.

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

Add '-25v' to each side of the equation.
-10 + 10v + -25v = 15 + 25v + -25v

Combine like terms: 10v + -25v = -15v
-10 + -15v = 15 + 25v + -25v

Combine like terms: 25v + -25v = 0
-10 + -15v = 15 + 0
-10 + -15v = 15

Add '10' to each side of the equation.
-10 + 10 + -15v = 15 + 10

Combine like terms: -10 + 10 = 0
0 + -15v = 15 + 10
-15v = 15 + 10

Combine like terms: 15 + 10 = 25
-15v = 25

Divide each side by '-15'.
v = -1.666666667

Simplifying
v = -1.666666667

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