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

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


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

Reorder the terms:
2x + -5x + -6y = 5x + -4y

Combine like terms: 2x + -5x = -3x
-3x + -6y = 5x + -4y

Solving
-3x + -6y = 5x + -4y

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.
-3x + -5x + -6y = 5x + -5x + -4y

Combine like terms: -3x + -5x = -8x
-8x + -6y = 5x + -5x + -4y

Combine like terms: 5x + -5x = 0
-8x + -6y = 0 + -4y
-8x + -6y = -4y

Add '6y' to each side of the equation.
-8x + -6y + 6y = -4y + 6y

Combine like terms: -6y + 6y = 0
-8x + 0 = -4y + 6y
-8x = -4y + 6y

Combine like terms: -4y + 6y = 2y
-8x = 2y

Divide each side by '-8'.
x = -0.25y

Simplifying
x = -0.25y

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