4-2y-x=8-3y-2x

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Solution for 4-2y-x=8-3y-2x equation:


Simplifying
4 + -2y + -1x = 8 + -3y + -2x

Reorder the terms:
4 + -1x + -2y = 8 + -3y + -2x

Reorder the terms:
4 + -1x + -2y = 8 + -2x + -3y

Solving
4 + -1x + -2y = 8 + -2x + -3y

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
4 + -1x + 2x + -2y = 8 + -2x + 2x + -3y

Combine like terms: -1x + 2x = 1x
4 + 1x + -2y = 8 + -2x + 2x + -3y

Combine like terms: -2x + 2x = 0
4 + 1x + -2y = 8 + 0 + -3y
4 + 1x + -2y = 8 + -3y

Add '-4' to each side of the equation.
4 + 1x + -4 + -2y = 8 + -4 + -3y

Reorder the terms:
4 + -4 + 1x + -2y = 8 + -4 + -3y

Combine like terms: 4 + -4 = 0
0 + 1x + -2y = 8 + -4 + -3y
1x + -2y = 8 + -4 + -3y

Combine like terms: 8 + -4 = 4
1x + -2y = 4 + -3y

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

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

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

Divide each side by '1'.
x = 4 + -1y

Simplifying
x = 4 + -1y

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