-3(v+1)+7x=4(v+1)-7

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Solution for -3(v+1)+7x=4(v+1)-7 equation:


Simplifying
-3(v + 1) + 7x = 4(v + 1) + -7

Reorder the terms:
-3(1 + v) + 7x = 4(v + 1) + -7
(1 * -3 + v * -3) + 7x = 4(v + 1) + -7
(-3 + -3v) + 7x = 4(v + 1) + -7

Reorder the terms:
-3 + -3v + 7x = 4(1 + v) + -7
-3 + -3v + 7x = (1 * 4 + v * 4) + -7
-3 + -3v + 7x = (4 + 4v) + -7

Reorder the terms:
-3 + -3v + 7x = 4 + -7 + 4v

Combine like terms: 4 + -7 = -3
-3 + -3v + 7x = -3 + 4v

Add '3' to each side of the equation.
-3 + -3v + 3 + 7x = -3 + 3 + 4v

Reorder the terms:
-3 + 3 + -3v + 7x = -3 + 3 + 4v

Combine like terms: -3 + 3 = 0
0 + -3v + 7x = -3 + 3 + 4v
-3v + 7x = -3 + 3 + 4v

Combine like terms: -3 + 3 = 0
-3v + 7x = 0 + 4v
-3v + 7x = 4v

Solving
-3v + 7x = 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.
-3v + -4v + 7x = 4v + -4v

Combine like terms: -3v + -4v = -7v
-7v + 7x = 4v + -4v

Combine like terms: 4v + -4v = 0
-7v + 7x = 0

Add '-7x' to each side of the equation.
-7v + 7x + -7x = 0 + -7x

Combine like terms: 7x + -7x = 0
-7v + 0 = 0 + -7x
-7v = 0 + -7x
Remove the zero:
-7v = -7x

Divide each side by '-7'.
v = x

Simplifying
v = x

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