(x-3y)+(3y-6)=0+2x

Solution for (x-3y)+(3y-6)=0+2x equation:

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

Remove parenthesis around (x + -3y)
x + -3y + (3y + -6) = 0 + 2x

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

Remove parenthesis around (-6 + 3y)
x + -3y + -6 + 3y = 0 + 2x

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

Combine like terms: -3y + 3y = 0
-6 + x + 0 = 0 + 2x
-6 + x = 0 + 2x
Remove the zero:
-6 + x = 2x

Solving
-6 + x = 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-6 + x + -2x = 2x + -2x

Combine like terms: x + -2x = -1x
-6 + -1x = 2x + -2x

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

Add '6' to each side of the equation.
-6 + 6 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6