2x-y+2=x+y-5

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Solution for 2x-y+2=x+y-5 equation:


Simplifying
2x + -1y + 2 = x + y + -5

Reorder the terms:
2 + 2x + -1y = x + y + -5

Reorder the terms:
2 + 2x + -1y = -5 + x + y

Solving
2 + 2x + -1y = -5 + x + y

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.
2 + 2x + -1x + -1y = -5 + x + -1x + y

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

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

Add '-2' to each side of the equation.
2 + 1x + -2 + -1y = -5 + -2 + y

Reorder the terms:
2 + -2 + 1x + -1y = -5 + -2 + y

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

Combine like terms: -5 + -2 = -7
1x + -1y = -7 + y

Add 'y' to each side of the equation.
1x + -1y + y = -7 + y + y

Combine like terms: -1y + y = 0
1x + 0 = -7 + y + y
1x = -7 + y + y

Combine like terms: y + y = 2y
1x = -7 + 2y

Divide each side by '1'.
x = -7 + 2y

Simplifying
x = -7 + 2y

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