## Algebra 1

$x={3,7}$
To solve absolute value equations, one must isolate what is in the absolute value. $-3|d-5|=-6$ $\frac{-1}{3}(-3|d-5|)=\frac{-1}{3}(-6)$ $|d-5|=2$ Then create two equations, one where the left side equals the positive of the right, and one where it equals the negative. $d-5=2$ $(d-5)+5=(2)+5$ $d=7$ $d-5=-2$ $(d-5)+5=(-2)+5$ $d=3$ As shown, the two equations create 3 and 7. Therefore, the solution is $x={3,7}$.