### Instruction: The denominator of a fraction is 7 less than 3 times the numerator.  If the fraction is equivalent to $2/5$, what is the numerator of the fraction?### Response: Let's call the numerator x.
So the denominator is 3x-7.
We know that x/(3x-7) = 2/5.
So 5x = 2(3x-7).
5x = 6x - 14.
So x = 7.