-x+2y-7=x+y-6

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Solution for -x+2y-7=x+y-6 equation:


Simplifying
-1x + 2y + -7 = x + y + -6

Reorder the terms:
-7 + -1x + 2y = x + y + -6

Reorder the terms:
-7 + -1x + 2y = -6 + x + y

Solving
-7 + -1x + 2y = -6 + 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.
-7 + -1x + -1x + 2y = -6 + x + -1x + y

Combine like terms: -1x + -1x = -2x
-7 + -2x + 2y = -6 + x + -1x + y

Combine like terms: x + -1x = 0
-7 + -2x + 2y = -6 + 0 + y
-7 + -2x + 2y = -6 + y

Add '7' to each side of the equation.
-7 + -2x + 7 + 2y = -6 + 7 + y

Reorder the terms:
-7 + 7 + -2x + 2y = -6 + 7 + y

Combine like terms: -7 + 7 = 0
0 + -2x + 2y = -6 + 7 + y
-2x + 2y = -6 + 7 + y

Combine like terms: -6 + 7 = 1
-2x + 2y = 1 + y

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

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

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

Divide each side by '-2'.
x = -0.5 + 0.5y

Simplifying
x = -0.5 + 0.5y

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