-6(x-y)+2(x+y)-3(x+2y)=

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Solution for -6(x-y)+2(x+y)-3(x+2y)= equation:


Simplifying
-6(x + -1y) + 2(x + y) + -3(x + 2y) = 0
(x * -6 + -1y * -6) + 2(x + y) + -3(x + 2y) = 0
(-6x + 6y) + 2(x + y) + -3(x + 2y) = 0
-6x + 6y + (x * 2 + y * 2) + -3(x + 2y) = 0
-6x + 6y + (2x + 2y) + -3(x + 2y) = 0
-6x + 6y + 2x + 2y + (x * -3 + 2y * -3) = 0
-6x + 6y + 2x + 2y + (-3x + -6y) = 0

Reorder the terms:
-6x + 2x + -3x + 6y + 2y + -6y = 0

Combine like terms: -6x + 2x = -4x
-4x + -3x + 6y + 2y + -6y = 0

Combine like terms: -4x + -3x = -7x
-7x + 6y + 2y + -6y = 0

Combine like terms: 6y + 2y = 8y
-7x + 8y + -6y = 0

Combine like terms: 8y + -6y = 2y
-7x + 2y = 0

Solving
-7x + 2y = 0

Solving for variable 'x'.

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

Add '-2y' to each side of the equation.
-7x + 2y + -2y = 0 + -2y

Combine like terms: 2y + -2y = 0
-7x + 0 = 0 + -2y
-7x = 0 + -2y
Remove the zero:
-7x = -2y

Divide each side by '-7'.
x = 0.2857142857y

Simplifying
x = 0.2857142857y

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