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

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Solution for -2x+3y+2=-x-2y+6 equation:


Simplifying
-2x + 3y + 2 = -1x + -2y + 6

Reorder the terms:
2 + -2x + 3y = -1x + -2y + 6

Reorder the terms:
2 + -2x + 3y = 6 + -1x + -2y

Solving
2 + -2x + 3y = 6 + -1x + -2y

Solving for variable 'x'.

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

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

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

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

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

Reorder the terms:
2 + -2 + -1x + 3y = 6 + -2 + -2y

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

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

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

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

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

Divide each side by '-1'.
x = -4 + 5y

Simplifying
x = -4 + 5y

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