The first step for finding out our equation is to know that the $6 depends on how many hours he works,, so it must have a variable with it. Along with that,, $46 will be out constant and we will equal our expression to the cost of prom ($160). This will look like the following:
6x + 46 = 160
Now that we have our equation,, we can start solving by moving our constant to the right side of the equation and changing the sign.
6x = 160 - 46
Now subtract the numbers on the right side.
6x = 144
Finally,, divide both sides of the equation by 6 to get your final answer.
x = 19
This means that Jed needs to work 19 hours to pay for prom.
Let me know if you have any further questions.
:)