## Algebra: A Combined Approach (4th Edition)

2(x - 4) = x - $\frac{1}{4}$; x = 7$\frac{3}{4}$
"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$\frac{3}{4}$