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

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


Simplifying
-2(x + -4y) + 4x = -3x + 2y
(x * -2 + -4y * -2) + 4x = -3x + 2y
(-2x + 8y) + 4x = -3x + 2y

Reorder the terms:
-2x + 4x + 8y = -3x + 2y

Combine like terms: -2x + 4x = 2x
2x + 8y = -3x + 2y

Solving
2x + 8y = -3x + 2y

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 + 8y = -3x + 3x + 2y

Combine like terms: 2x + 3x = 5x
5x + 8y = -3x + 3x + 2y

Combine like terms: -3x + 3x = 0
5x + 8y = 0 + 2y
5x + 8y = 2y

Add '-8y' to each side of the equation.
5x + 8y + -8y = 2y + -8y

Combine like terms: 8y + -8y = 0
5x + 0 = 2y + -8y
5x = 2y + -8y

Combine like terms: 2y + -8y = -6y
5x = -6y

Divide each side by '5'.
x = -1.2y

Simplifying
x = -1.2y

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