3x+2=5x-2y

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


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

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

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

Solving for variable 'x'.

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

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

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

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

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

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

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

Simplifying
x = 1 + y

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