Question:
Find a number such that when 5 is subtracted from 5 times the number, the result is 4 more than twice the number.
Solution:
Let the number be $\mathrm{x}$.
According to the question,
$5 \mathrm{x}-5=2 \mathrm{x}+4$
or $5 \mathrm{x}-2 \mathrm{x}=4+5$
or $3 \mathrm{x}=9$
or $\mathrm{x}=\frac{9}{3}$
or $\mathrm{x}=3$
Thus, the number is 3 .