((3x-5y)+2x)*2=3+3y(6x+4-8)

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Solution for ((3x-5y)+2x)*2=3+3y(6x+4-8) equation:


Simplifying
((3x + -5y) + 2x) * 2 = 3 + 3y(6x + 4 + -8)

Remove parenthesis around (3x + -5y)
(3x + -5y + 2x) * 2 = 3 + 3y(6x + 4 + -8)

Reorder the terms:
(3x + 2x + -5y) * 2 = 3 + 3y(6x + 4 + -8)

Combine like terms: 3x + 2x = 5x
(5x + -5y) * 2 = 3 + 3y(6x + 4 + -8)

Reorder the terms for easier multiplication:
2(5x + -5y) = 3 + 3y(6x + 4 + -8)
(5x * 2 + -5y * 2) = 3 + 3y(6x + 4 + -8)
(10x + -10y) = 3 + 3y(6x + 4 + -8)

Reorder the terms:
10x + -10y = 3 + 3y(4 + -8 + 6x)

Combine like terms: 4 + -8 = -4
10x + -10y = 3 + 3y(-4 + 6x)
10x + -10y = 3 + (-4 * 3y + 6x * 3y)

Reorder the terms:
10x + -10y = 3 + (18xy + -12y)
10x + -10y = 3 + (18xy + -12y)

Solving
10x + -10y = 3 + 18xy + -12y

Solving for variable 'x'.

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

Add '-18xy' to each side of the equation.
10x + -18xy + -10y = 3 + 18xy + -18xy + -12y

Combine like terms: 18xy + -18xy = 0
10x + -18xy + -10y = 3 + 0 + -12y
10x + -18xy + -10y = 3 + -12y

Add '10y' to each side of the equation.
10x + -18xy + -10y + 10y = 3 + -12y + 10y

Combine like terms: -10y + 10y = 0
10x + -18xy + 0 = 3 + -12y + 10y
10x + -18xy = 3 + -12y + 10y

Combine like terms: -12y + 10y = -2y
10x + -18xy = 3 + -2y

Reorder the terms:
-3 + 10x + -18xy + 2y = 3 + -2y + -3 + 2y

Reorder the terms:
-3 + 10x + -18xy + 2y = 3 + -3 + -2y + 2y

Combine like terms: 3 + -3 = 0
-3 + 10x + -18xy + 2y = 0 + -2y + 2y
-3 + 10x + -18xy + 2y = -2y + 2y

Combine like terms: -2y + 2y = 0
-3 + 10x + -18xy + 2y = 0

The solution to this equation could not be determined.

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