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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

Divide each side by '2'.
x = 2.5 + -0.5y

Simplifying
x = 2.5 + -0.5y

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