-5x+4y=-2(2x-3y)+4

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Solution for -5x+4y=-2(2x-3y)+4 equation:


Simplifying
-5x + 4y = -2(2x + -3y) + 4
-5x + 4y = (2x * -2 + -3y * -2) + 4
-5x + 4y = (-4x + 6y) + 4

Reorder the terms:
-5x + 4y = 4 + -4x + 6y

Solving
-5x + 4y = 4 + -4x + 6y

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-5x + 4x + 4y = 4 + -4x + 4x + 6y

Combine like terms: -5x + 4x = -1x
-1x + 4y = 4 + -4x + 4x + 6y

Combine like terms: -4x + 4x = 0
-1x + 4y = 4 + 0 + 6y
-1x + 4y = 4 + 6y

Add '-4y' to each side of the equation.
-1x + 4y + -4y = 4 + 6y + -4y

Combine like terms: 4y + -4y = 0
-1x + 0 = 4 + 6y + -4y
-1x = 4 + 6y + -4y

Combine like terms: 6y + -4y = 2y
-1x = 4 + 2y

Divide each side by '-1'.
x = -4 + -2y

Simplifying
x = -4 + -2y

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