5(v+2)=-2(4v-3)+5

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Solution for 5(v+2)=-2(4v-3)+5 equation:


Simplifying
5(v + 2) = -2(4v + -3) + 5

Reorder the terms:
5(2 + v) = -2(4v + -3) + 5
(2 * 5 + v * 5) = -2(4v + -3) + 5
(10 + 5v) = -2(4v + -3) + 5

Reorder the terms:
10 + 5v = -2(-3 + 4v) + 5
10 + 5v = (-3 * -2 + 4v * -2) + 5
10 + 5v = (6 + -8v) + 5

Reorder the terms:
10 + 5v = 6 + 5 + -8v

Combine like terms: 6 + 5 = 11
10 + 5v = 11 + -8v

Solving
10 + 5v = 11 + -8v

Solving for variable 'v'.

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

Add '8v' to each side of the equation.
10 + 5v + 8v = 11 + -8v + 8v

Combine like terms: 5v + 8v = 13v
10 + 13v = 11 + -8v + 8v

Combine like terms: -8v + 8v = 0
10 + 13v = 11 + 0
10 + 13v = 11

Add '-10' to each side of the equation.
10 + -10 + 13v = 11 + -10

Combine like terms: 10 + -10 = 0
0 + 13v = 11 + -10
13v = 11 + -10

Combine like terms: 11 + -10 = 1
13v = 1

Divide each side by '13'.
v = 0.07692307692

Simplifying
v = 0.07692307692

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