To solve for x in the equation 5/8x = 65, we can begin by isolating x.
We can start by multiplying both sides of the equation by the reciprocal of 5/8, which is 8/5:
(5/8x) * (8/5) = 65 * (8/5)
This simplifies to:
(8/5) * (5/8x) = 65 * (8/5)
On the left side of the equation, the 5/8 and 8/5 cancel out, leaving us only with x:
x = 65 * (8/5)
To simplify further, we can multiply 65 by 8 and divide by 5:
x = 520/5
Finally, we can simplify the fraction:
x = 104
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