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

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

Simplifying
3(x + 2y) + -2(2x + -3y) = 0
(x * 3 + 2y * 3) + -2(2x + -3y) = 0
(3x + 6y) + -2(2x + -3y) = 0
3x + 6y + (2x * -2 + -3y * -2) = 0
3x + 6y + (-4x + 6y) = 0

Reorder the terms:
3x + -4x + 6y + 6y = 0

Combine like terms: 3x + -4x = -1x
-1x + 6y + 6y = 0

Combine like terms: 6y + 6y = 12y
-1x + 12y = 0

Solving
-1x + 12y = 0

Solving for variable 'x'.

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

Add '-12y' to each side of the equation.
-1x + 12y + -12y = 0 + -12y

Combine like terms: 12y + -12y = 0
-1x + 0 = 0 + -12y
-1x = 0 + -12y
Remove the zero:
-1x = -12y

Divide each side by '-1'.
x = 12y

Simplifying
x = 12y