Question

How do you multiply `(5x+2)/(3x)-(4x-3)/(3x)=( x-1 )/(3x)`?

Answer 1

I am not sure if you want to solve it for `x` but I try this:
Take a common denominator on both sides:
`(5x+2-4x+3)/(3x)=(x-1)/(3x)`
(I changed sign in the second numerator on the left);
Now take the `3x` from the denominator (on the left) up to multiply on the right as:
`5x+2-4x+3=(x-1)color(red)(3x)/(3x)` and simplify:
`5x+2-4x+3=(x-1)cancel(color(red)(3x))/cancel((3x))`
You are left with:
`x+5=x-1`
and;
`0=-6` which in not true for any `x`
So your equation has NO SOLUTIONS