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

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


Simplifying
5(x + -2y) + 3(x + -1y) + -1(3x + -3y) = 0
(x * 5 + -2y * 5) + 3(x + -1y) + -1(3x + -3y) = 0
(5x + -10y) + 3(x + -1y) + -1(3x + -3y) = 0
5x + -10y + (x * 3 + -1y * 3) + -1(3x + -3y) = 0
5x + -10y + (3x + -3y) + -1(3x + -3y) = 0
5x + -10y + 3x + -3y + (3x * -1 + -3y * -1) = 0
5x + -10y + 3x + -3y + (-3x + 3y) = 0

Reorder the terms:
5x + 3x + -3x + -10y + -3y + 3y = 0

Combine like terms: 5x + 3x = 8x
8x + -3x + -10y + -3y + 3y = 0

Combine like terms: 8x + -3x = 5x
5x + -10y + -3y + 3y = 0

Combine like terms: -10y + -3y = -13y
5x + -13y + 3y = 0

Combine like terms: -13y + 3y = -10y
5x + -10y = 0

Solving
5x + -10y = 0

Solving for variable 'x'.

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

Add '10y' to each side of the equation.
5x + -10y + 10y = 0 + 10y

Combine like terms: -10y + 10y = 0
5x + 0 = 0 + 10y
5x = 0 + 10y
Remove the zero:
5x = 10y

Divide each side by '5'.
x = 2y

Simplifying
x = 2y

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