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

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


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

Reorder the terms:
x + -6(3 + y) + -1(3y + -1x) = 0
x + (3 * -6 + y * -6) + -1(3y + -1x) = 0
x + (-18 + -6y) + -1(3y + -1x) = 0

Reorder the terms:
x + -18 + -6y + -1(-1x + 3y) = 0
x + -18 + -6y + (-1x * -1 + 3y * -1) = 0
x + -18 + -6y + (1x + -3y) = 0

Reorder the terms:
-18 + x + 1x + -6y + -3y = 0

Combine like terms: x + 1x = 2x
-18 + 2x + -6y + -3y = 0

Combine like terms: -6y + -3y = -9y
-18 + 2x + -9y = 0

Solving
-18 + 2x + -9y = 0

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 2x + 18 + -9y = 0 + 18

Reorder the terms:
-18 + 18 + 2x + -9y = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 2x + -9y = 0 + 18
2x + -9y = 0 + 18

Combine like terms: 0 + 18 = 18
2x + -9y = 18

Add '9y' to each side of the equation.
2x + -9y + 9y = 18 + 9y

Combine like terms: -9y + 9y = 0
2x + 0 = 18 + 9y
2x = 18 + 9y

Divide each side by '2'.
x = 9 + 4.5y

Simplifying
x = 9 + 4.5y

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