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

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


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

Remove parenthesis around (4x + -2y)
4x + -2y = (2x + -3y)

Remove parenthesis around (2x + -3y)
4x + -2y = 2x + -3y

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

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

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

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

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

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

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

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

Simplifying
x = -0.5y

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