Step-by-step solution to:

The key to solving this problem is recognizing it is a proportion and can be solved using the technique called cross-multiplication. This means that you are multiplying the numerator of each side by the denominator of the other side.



You multiply the numerator of the first side by the denominator of the second and the denominator of the first by the numerator of the second.



Simplify.





Factor.


Set each factor equal to zero and solve for x.





Finally, you want to look at the original expression and make sure that these solutions don't violate any restrictions on division by zero.

For the right side, we see that  ≠ , so  ≠ . For the left side, we see that  ≠ , so  ≠ . This means our solutions are valid.

x = -9/4, x = 1

Step 1: 6x-10=1; step 2: 6x=11