2x+5y=3x+2

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


Simplifying
2x + 5y = 3x + 2

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

Solving
2x + 5y = 2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2x + -3x + 5y = 2 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-1x + 5y = 2 + 0
-1x + 5y = 2

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

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

Divide each side by '-1'.
x = -2 + 5y

Simplifying
x = -2 + 5y

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