-3(y-2)-4x=2(y-2)+x

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Solution for -3(y-2)-4x=2(y-2)+x equation:


Simplifying
-3(y + -2) + -4x = 2(y + -2) + x

Reorder the terms:
-3(-2 + y) + -4x = 2(y + -2) + x
(-2 * -3 + y * -3) + -4x = 2(y + -2) + x
(6 + -3y) + -4x = 2(y + -2) + x

Reorder the terms:
6 + -4x + -3y = 2(y + -2) + x

Reorder the terms:
6 + -4x + -3y = 2(-2 + y) + x
6 + -4x + -3y = (-2 * 2 + y * 2) + x
6 + -4x + -3y = (-4 + 2y) + x

Reorder the terms:
6 + -4x + -3y = -4 + x + 2y

Solving
6 + -4x + -3y = -4 + x + 2y

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + -4x + -1x + -3y = -4 + x + -1x + 2y

Combine like terms: -4x + -1x = -5x
6 + -5x + -3y = -4 + x + -1x + 2y

Combine like terms: x + -1x = 0
6 + -5x + -3y = -4 + 0 + 2y
6 + -5x + -3y = -4 + 2y

Add '-6' to each side of the equation.
6 + -5x + -6 + -3y = -4 + -6 + 2y

Reorder the terms:
6 + -6 + -5x + -3y = -4 + -6 + 2y

Combine like terms: 6 + -6 = 0
0 + -5x + -3y = -4 + -6 + 2y
-5x + -3y = -4 + -6 + 2y

Combine like terms: -4 + -6 = -10
-5x + -3y = -10 + 2y

Add '3y' to each side of the equation.
-5x + -3y + 3y = -10 + 2y + 3y

Combine like terms: -3y + 3y = 0
-5x + 0 = -10 + 2y + 3y
-5x = -10 + 2y + 3y

Combine like terms: 2y + 3y = 5y
-5x = -10 + 5y

Divide each side by '-5'.
x = 2 + -1y

Simplifying
x = 2 + -1y

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