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

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

Simplifying
3 + -1(x + -3) = x(3 + -2)

Reorder the terms:
3 + -1(-3 + x) = x(3 + -2)
3 + (-3 * -1 + x * -1) = x(3 + -2)
3 + (3 + -1x) = x(3 + -2)

Combine like terms: 3 + 3 = 6
6 + -1x = x(3 + -2)

Combine like terms: 3 + -2 = 1
6 + -1x = x(1)

Reorder the terms for easier multiplication:
6 + -1x = 1x

Solving
6 + -1x = 1x

Solving for variable 'x'.

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

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

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

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

Add '-6' to each side of the equation.
6 + -6 + -2x = 0 + -6

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

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

Divide each side by '-2'.
x = 3

Simplifying
x = 3