-3(2x-y)+3x+(x-3y)2-2x+5(x-y)=1

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Solution for -3(2x-y)+3x+(x-3y)2-2x+5(x-y)=1 equation:


Simplifying
-3(2x + -1y) + 3x + (x + -3y) * 2 + -2x + 5(x + -1y) = 1
(2x * -3 + -1y * -3) + 3x + (x + -3y) * 2 + -2x + 5(x + -1y) = 1
(-6x + 3y) + 3x + (x + -3y) * 2 + -2x + 5(x + -1y) = 1

Reorder the terms for easier multiplication:
-6x + 3y + 3x + 2(x + -3y) + -2x + 5(x + -1y) = 1
-6x + 3y + 3x + (x * 2 + -3y * 2) + -2x + 5(x + -1y) = 1
-6x + 3y + 3x + (2x + -6y) + -2x + 5(x + -1y) = 1
-6x + 3y + 3x + 2x + -6y + -2x + (x * 5 + -1y * 5) = 1
-6x + 3y + 3x + 2x + -6y + -2x + (5x + -5y) = 1

Reorder the terms:
-6x + 3x + 2x + -2x + 5x + 3y + -6y + -5y = 1

Combine like terms: -6x + 3x = -3x
-3x + 2x + -2x + 5x + 3y + -6y + -5y = 1

Combine like terms: -3x + 2x = -1x
-1x + -2x + 5x + 3y + -6y + -5y = 1

Combine like terms: -1x + -2x = -3x
-3x + 5x + 3y + -6y + -5y = 1

Combine like terms: -3x + 5x = 2x
2x + 3y + -6y + -5y = 1

Combine like terms: 3y + -6y = -3y
2x + -3y + -5y = 1

Combine like terms: -3y + -5y = -8y
2x + -8y = 1

Solving
2x + -8y = 1

Solving for variable 'x'.

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

Add '8y' to each side of the equation.
2x + -8y + 8y = 1 + 8y

Combine like terms: -8y + 8y = 0
2x + 0 = 1 + 8y
2x = 1 + 8y

Divide each side by '2'.
x = 0.5 + 4y

Simplifying
x = 0.5 + 4y

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