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

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


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

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

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

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

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.
3 + 2x + -1x + y = -2 + x + -1x + -2y

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

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

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

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

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

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

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

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

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

Divide each side by '1'.
x = -5 + -3y

Simplifying
x = -5 + -3y

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