How do you solve #1/(x+4)-2=(3x-2)/(x+4)#?
Get a common denominator by multiplying the 2nd term by
Compare to a simple equation like
Because there is a common denominator, this can be solve with the numerators only
Similarly, solve the equation using only the numerators.
Distribute the negative.
When solving rational equations, it is important to check for extraneous solutions (solutions that "don't work" or result in division by zero).