Answer:
x = 6
Step-by-step explanation:
If x is reserved for the number of hours it'll take, then the first equation is saying that $6 is being multiplied by an x amount of hours, which is then added by $30. The second equation states that $11 is being multiplied by an x amount of hours, but there is no flat fee. This makes the equation:
6x + 30 = 11x
The steps to solving this are:
1) Make the variables on one side. In this case, it is easier to put them on the right.
11x - 6x = 5x
5x = 30
2) Divide both sides by 5.
5x / 5 = 30 / 5
x = 6
This means it will take 6 hours for them to charge the same amount of money.