SOLUTION: x/25=remainder 23,x/32=remainder 30....what is x?

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Question 756270: x/25=remainder 23,x/32=remainder 30....what is x?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
x/25 = remainder 23,
x/32 = remainder 30.
...what is x?
:
The difference of the remainders and the divisors is 7
write an equation like this:
%28x-23%29%2F25 = %28x-30%29%2F32 + 7
multiply by the least common multiple, 800; resulting in:
32(x-23) = 25(x-30) + 800
32x - 736 = 25x - 750 + 5600
32x - 25x = -750 + 736 + 5600
7x = 5586
x = 5586/7
x = 798 is the number
:
I'll let you check and confirm this is true