x+3y+2-3x-5y=4

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Solution for x+3y+2-3x-5y=4 equation:


Simplifying
x + 3y + 2 + -3x + -5y = 4

Reorder the terms:
2 + x + -3x + 3y + -5y = 4

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

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

Solving
2 + -2x + -2y = 4

Solving for variable 'x'.

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

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

Reorder the terms:
2 + -2 + -2x + -2y = 4 + -2

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

Combine like terms: 4 + -2 = 2
-2x + -2y = 2

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

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

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

Simplifying
x = -1 + -1y

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