To solve this, you need to isolate/get the variable "x" by itself in the equation:
3(x - 1) = 2(3 - x) Distribute 3 into (x - 1) and 2 into (3 - x)
(3)x + (3)(-1) = (2)3 + (2)(-x)
3x - 3 = 6 - 2x Add 2x on both sides to get "x" on one side of the equation
3x + 2x - 3 = 6 - 2x + 2x
5x - 3 = 6 Add 3 on both sides
5x - 3 + 3 = 6 + 3
5x = 9 Divide 5 on both sides to get "x" by itself
[tex]\frac{5x}{5} =\frac{9}{5}[/tex]
[tex]x=\frac{9}{5}[/tex]
