Answer
$\frac{13}{4}$ and -$\frac{9}{4}$.
Work Step by Step
To solve, first isolate k. Start by adding 2 to both sides of the equation. Then, divide 4 on each side of the equation. You end up with the first answer k=$\frac{13}{4}$. The next answer can be found by making the 11 negative. We do this because we are solving for absolute value. The new equation becomes 4k-2=-11. Isolate k in this equation. Add 2 on both sides and then divide by -4. The second answer is -$\frac{9}{4}$.
To check, substitute each solution into x.
$\mid$$4$($\frac{13}{4}$)$-2$$\mid$$=11$
$\mid$$4$(-$\frac{9}{4}$)$-2$$\mid$$=11$
