9+2(v-1)=4(v+1)-5

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Solution for 9+2(v-1)=4(v+1)-5 equation: 


Simplifying
9 + 2(v + -1) = 4(v + 1) + -5

Reorder the terms:
9 + 2(-1 + v) = 4(v + 1) + -5
9 + (-1 * 2 + v * 2) = 4(v + 1) + -5
9 + (-2 + 2v) = 4(v + 1) + -5

Combine like terms: 9 + -2 = 7
7 + 2v = 4(v + 1) + -5

Reorder the terms:
7 + 2v = 4(1 + v) + -5
7 + 2v = (1 * 4 + v * 4) + -5
7 + 2v = (4 + 4v) + -5

Reorder the terms:
7 + 2v = 4 + -5 + 4v

Combine like terms: 4 + -5 = -1
7 + 2v = -1 + 4v

Solving
7 + 2v = -1 + 4v

Solving for variable 'v'.

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

Add '-4v' to each side of the equation.
7 + 2v + -4v = -1 + 4v + -4v

Combine like terms: 2v + -4v = -2v
7 + -2v = -1 + 4v + -4v

Combine like terms: 4v + -4v = 0
7 + -2v = -1 + 0
7 + -2v = -1

Add '-7' to each side of the equation.
7 + -7 + -2v = -1 + -7

Combine like terms: 7 + -7 = 0
0 + -2v = -1 + -7
-2v = -1 + -7

Combine like terms: -1 + -7 = -8
-2v = -8

Divide each side by '-2'.
v = 4

Simplifying
v = 4

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