-2(3-2x)-3(x-3)=6

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

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

Reorder the terms:
-6 + 4x + -3(-3 + x) = 6
-6 + 4x + (-3 * -3 + x * -3) = 6
-6 + 4x + (9 + -3x) = 6

Reorder the terms:
-6 + 9 + 4x + -3x = 6

Combine like terms: -6 + 9 = 3
3 + 4x + -3x = 6

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

Solving
3 + 1x = 6

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 1x = 6 + -3

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

Combine like terms: 6 + -3 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3