4v-13=2v-5

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Solution for 4v-13=2v-5 equation:


Simplifying
4v + -13 = 2v + -5

Reorder the terms:
-13 + 4v = 2v + -5

Reorder the terms:
-13 + 4v = -5 + 2v

Solving
-13 + 4v = -5 + 2v

Solving for variable 'v'.

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

Add '-2v' to each side of the equation.
-13 + 4v + -2v = -5 + 2v + -2v

Combine like terms: 4v + -2v = 2v
-13 + 2v = -5 + 2v + -2v

Combine like terms: 2v + -2v = 0
-13 + 2v = -5 + 0
-13 + 2v = -5

Add '13' to each side of the equation.
-13 + 13 + 2v = -5 + 13

Combine like terms: -13 + 13 = 0
0 + 2v = -5 + 13
2v = -5 + 13

Combine like terms: -5 + 13 = 8
2v = 8

Divide each side by '2'.
v = 4

Simplifying
v = 4

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