SOLUTION: How would you work this problem 2x+1 over 8 epuals 3 over 7?

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Question 84504: How would you work this problem 2x+1 over 8 epuals 3 over 7?
Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
%282x%2B1%29%2F8=3%2F7
I assume that you want to solve for x, which means getting x alone on one side of the equation. The first step is to multiply each side of the equation by 8. This does not change the equality, but does allow you to cancel the 8 on the left side. This leaves you with:
2x%2B1=24%2F7
Now, subtract 1 from each side of the equation. This leaves you with 2x alone on one side:
2x=24%2F7-1
Let's simplify the right side:
2x=17%2F7
Now, the last step is to get x alone by dividing each side of the equation by 2:
x=%2817%2F7%29%2F2
Simplify:
highlight%28x=17%2F14%29
Now, you can check this answer by plugging 17/4 back into the original equation for x and see if the equality holds true.
Good Luck,
tutor_paul@yahoo.com