Final answer:
To solve the equation (2/x-6) = (3/x-1) for x, multiply each term by a common denominator to eliminate fractions and then simplify the resulting polynomial equation to find the solution.
Step-by-step explanation:
When solving for x in two polynomials set equal to each other, as in (2/x-6) = (3/x-1), you must first clear the fractions by finding a common denominator and then multiply each term by this common denominator to eliminate the fractions. After doing this, you will have a polynomial equation that you can solve using methods such as factoring, using the quadratic formula, or graphically. Make sure to simplify the equation and rearrange it such that it equals zero before attempting to solve.