#### Answer

2x * 3 = 5x - $\frac{3}{4}$;
x = -$\frac{3}{4}$

#### Work Step by Step

"The product of twice a number and three" translates to 2x * 3.
"the difference of five times the number and $\frac{3}{4}$" translates to 5x - $\frac{3}{4}$.
The equation is:
2x * 3 = 5x - $\frac{3}{4}$
Solve for x:
6x = 5x - $\frac{3}{4}$
x = -$\frac{3}{4}$