Answer
$x={3,7}$
Work Step by Step
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 $x={3,7}$.
