#### Answer

The solution is -3

#### Work Step by Step

$\frac{x}{4}$ +1 =$\frac{1}{4}$ Subtract 1 from both sides
$\frac{x}{4}$ +1-1=$\frac{1}{4}$-1
$\frac{x}{4}$ =$\frac{1}{4}$-$\frac{4}{4}$
$\frac{x}{4}$ =-$\frac{3}{4}$ Multiply by 4 both sides
4$\times$$\frac{x}{4}$ =4$\times$-$\frac{3}{4}$
x=-3
The solution is -3
Check
Replace x with -3
$\frac{x}{4}$ +1 =$\frac{1}{4}$
$\frac{-3}{4}$ +1 =$\frac{1}{4}$
$\frac{-3}{4}$ +$\frac{4}{4}$ = $\frac{1}{4}$
$\frac{1}{4}$ =$\frac{1}{4}$