SOLUTION: If {{{67-2x}}} is divide by the integer x, the final quotient is 14 and the remainder is 3. Find x.

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Question 773475: If 67-2x is divide by the integer x, the final quotient is 14 and the remainder is 3. Find x.
Found 2 solutions by reviewermath, pakhi:
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Q:
If 67-2x is divide by the integer x, the final quotient is 14 and the remainder is 3. Find x.
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A:
%2867+-+2x%29%2Fx+=+14+%2B+3%2Fx, multiply both sides by x.
67 - 2x = 14x + 3
-2x - 14x = 3 - 67
-16x = -64
highlight%28x+=+4%29

Answer by pakhi(24) About Me  (Show Source):
You can put this solution on YOUR website!
Dividend = Quotient * Divisor + Remainder
Here Dividend = 67 - 2x
Divisor = x
Quotient = 14
Remainder = 3
So 67 - 2x = 14x + 3
or 14x + 2x = 67 - 3
or 16x = 64
or x = 4.
check: Dividend = 67 -2x = 67 - 2 * 4 = 67 - 8 = 59
59/4 = 14(quotient) with remainder 3