what is the simplified form of x-1/3x-3 ?

Multiply by 3.

3x-x-9 = 2x-9

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I have a strong feeling that you meant:

(x-1)/(3x-3)
= (x-1)/( 3(x-1))
= 1/3 , as long as x≠1

the way you typed it, it would be

(2/3)x - 3

To find the simplified form of the expression (x - 1)/(3x - 3), we need to factorize the numerator and the denominator, then cancel out any common factors. Here's how you can do it:

Step 1: Factorize the numerator (x - 1) and denominator (3x - 3). Both expressions have a common factor of 1, so we can write them as:

(x - 1) = 1 * (x - 1)
(3x - 3) = 3 * (x - 1)

Step 2: Now, we can rewrite the expression using the factored form:

(x - 1)/(3x - 3) = (1 * (x - 1))/(3 * (x - 1))

Step 3: Cancel out the common factor of (x - 1):

(x - 1)/(3x - 3) = (1 * (cancel(x - 1)))/(3 * (cancel(x - 1)))

Step 4: Simplify the expression further:

(x - 1)/(3x - 3) = 1/3

So, the simplified form of (x - 1)/(3x - 3) is 1/3.