2(2x-6)-2y=x-5y

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Solution for 2(2x-6)-2y=x-5y equation: 


Simplifying
2(2x + -6) + -2y = x + -5y

Reorder the terms:
2(-6 + 2x) + -2y = x + -5y
(-6 * 2 + 2x * 2) + -2y = x + -5y
(-12 + 4x) + -2y = x + -5y

Solving
-12 + 4x + -2y = x + -5y

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-12 + 4x + -1x + -2y = x + -1x + -5y

Combine like terms: 4x + -1x = 3x
-12 + 3x + -2y = x + -1x + -5y

Combine like terms: x + -1x = 0
-12 + 3x + -2y = 0 + -5y
-12 + 3x + -2y = -5y

Add '12' to each side of the equation.
-12 + 3x + 12 + -2y = 12 + -5y

Reorder the terms:
-12 + 12 + 3x + -2y = 12 + -5y

Combine like terms: -12 + 12 = 0
0 + 3x + -2y = 12 + -5y
3x + -2y = 12 + -5y

Add '2y' to each side of the equation.
3x + -2y + 2y = 12 + -5y + 2y

Combine like terms: -2y + 2y = 0
3x + 0 = 12 + -5y + 2y
3x = 12 + -5y + 2y

Combine like terms: -5y + 2y = -3y
3x = 12 + -3y

Divide each side by '3'.
x = 4 + -1y

Simplifying
x = 4 + -1y

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