6(-3v+1)-5=5(-2v-2)+3v

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Solution for 6(-3v+1)-5=5(-2v-2)+3v equation: 


Simplifying
6(-3v + 1) + -5 = 5(-2v + -2) + 3v

Reorder the terms:
6(1 + -3v) + -5 = 5(-2v + -2) + 3v
(1 * 6 + -3v * 6) + -5 = 5(-2v + -2) + 3v
(6 + -18v) + -5 = 5(-2v + -2) + 3v

Reorder the terms:
6 + -5 + -18v = 5(-2v + -2) + 3v

Combine like terms: 6 + -5 = 1
1 + -18v = 5(-2v + -2) + 3v

Reorder the terms:
1 + -18v = 5(-2 + -2v) + 3v
1 + -18v = (-2 * 5 + -2v * 5) + 3v
1 + -18v = (-10 + -10v) + 3v

Combine like terms: -10v + 3v = -7v
1 + -18v = -10 + -7v

Solving
1 + -18v = -10 + -7v

Solving for variable 'v'.

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

Add '7v' to each side of the equation.
1 + -18v + 7v = -10 + -7v + 7v

Combine like terms: -18v + 7v = -11v
1 + -11v = -10 + -7v + 7v

Combine like terms: -7v + 7v = 0
1 + -11v = -10 + 0
1 + -11v = -10

Add '-1' to each side of the equation.
1 + -1 + -11v = -10 + -1

Combine like terms: 1 + -1 = 0
0 + -11v = -10 + -1
-11v = -10 + -1

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

Divide each side by '-11'.
v = 1

Simplifying
v = 1

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