(3x-4x+2y)=(2y+3y+2x)

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


Simplifying
(3x + -4x + 2y) = (2y + 3y + 2x)

Combine like terms: 3x + -4x = -1x
(-1x + 2y) = (2y + 3y + 2x)

Remove parenthesis around (-1x + 2y)
-1x + 2y = (2y + 3y + 2x)

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

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

Remove parenthesis around (2x + 5y)
-1x + 2y = 2x + 5y

Solving
-1x + 2y = 2x + 5y

Solving for variable 'x'.

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

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

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

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

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

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

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

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

Simplifying
x = -1y

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