6/7 (7/6) x=5 (6/7)

what is the value of x?

x is 30/7

Step-by-step explanation:

You want to isolate x.

First, solve 5 * 6/7. The answer is 30/7.

Next, divide both sides by 6/7. This will cancel out the 6/7 on the left. For the right, when dividing fractions, you must take the reciprocal of the second fraction and multiply by it. So instead of having 30/7 divided by 6/7, you will have 30/7 * 7/6. The answer is 210/45 which simplifies to 5.

Third, you want to divide both sides by 7/6. Again the 7/6 on the left will be cancelled out. And you must do 5 * 6/7. In order to make the 5 look like a fraction to reduce confusion, you can set it over 1 (thus, you would do 5/1 * 6/7). The answer is 30/7.

You can plug it back into the equation to check.