2x-y+x-y=x+2+4x+2y

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Solution for 2x-y+x-y=x+2+4x+2y equation:


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

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

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

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

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

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

Solving
3x + -2y = 2 + 5x + 2y

Solving for variable 'x'.

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

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

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

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

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

Combine like terms: -2y + 2y = 0
-2x + 0 = 2 + 2y + 2y
-2x = 2 + 2y + 2y

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

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

Simplifying
x = -1 + -2y

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