Sal keeps quarters, nickels, and dimes in his change jar

Question:

Sal keeps quarters, nickels, and dimes in his change jar. He has a total of 52 coins. He has three more quarters than dimes and five fewer nickels than dimes. How many dimes does Sal have?
A. 13
B. 18
C. 20
D. 21
E. None of these.
Here is the equation I come with but does not lead to the right answer:
25(x + 3) + 5(x - 5) + 10x = 5200
Is this the correct equation?

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