X-4/5=6/13 what is x? explain how you got the answer

You have to start by adding 4/5 in order to get x alone. When you add 4/5 and 6/13, you have to find the smallest number that both the fractions can have as the same number in the denominator. For this case it is 5 because 13 times two, three, or four won't equal a number that 5 times any whole number can equal. 13 times 5 is 65 and 6 times 5 is 30 so our new fraction is 30/65. For 4/5 we do the same. In order for the bottom number to equal 65, you have to multiple the fraction by 13. 5 times 13 is 65 and 4 times 13 is 52 so our new fraction is 52/65. We now add 52/65 and 30/65 to get 82/65! 

Let's do this question with steps..

Step 1 ---> adding  on both sides
we get, 

Step 2 ---> taking LCM, so our LCM is 65

we multiply 6 *5 and 4 *13 to get the common denominator.

Step 3 ---> making it single term




Hope this helps..  :)