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

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

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

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

Solving
6 + -3x = 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 + -3x + -1x = 1x + -1x

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

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

Add '-6' to each side of the equation.
6 + -6 + -4x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = 0 + -6
-4x = 0 + -6

Combine like terms: 0 + -6 = -6
-4x = -6

Divide each side by '-4'.
x = 1.5

Simplifying
x = 1.5