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

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

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

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

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

Combine like terms: -2y + 6y = 4y
-1x + 4y = 0

Solving
-1x + 4y = 0

Solving for variable 'x'.

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

Add '-4y' to each side of the equation.
-1x + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
-1x + 0 = 0 + -4y
-1x = 0 + -4y
Remove the zero:
-1x = -4y

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

Simplifying
x = 4y