Answer
2(x - 4) = x - $\frac{1}{4}$;
x = 7$\frac{3}{4}$
Work Step by Step
"The difference of a number and four" translates to x - 4.
"doubled" translates to 2 *
"$\frac{1}{4}$ less than the number" translates to x - $\frac{1}{4}$
The equation is:
2(x - 4) = x - $\frac{1}{4}$
Solve for x:
2x - 8 = x - $\frac{1}{4}$
x - 8 = -$\frac{1}{4}$
x = 7$\frac{3}{4}$