Answer
The solutions are $x=3$ and $x=\dfrac{7}{3}$
Work Step by Step
$|8-3x|-3=-2$
Take $3$ to the right side of the equation:
$|8-3x|=-2+3$
$|8-3x|=1$
Solving this absolute value equation is equivalent to solving two separate equations, which are:
$8-3x=1$ and $8-3x=-1$
$\textbf{Solve the first equation:}$
$8-3x=1$
Take $8$ to the right side:
$-3x=1-8$
$-3x=-7$
Solve for $x$:
$x=\dfrac{-7}{-3}$
$x=\dfrac{7}{3}$
$\textbf{Solve the second equation:}$
$8-3x=-1$
Take $8$ to the right side:
$-3x=-1-8$
$-3x=-9$
Solve for $x$:
$x=\dfrac{-9}{-3}$
$x=3$
The solutions are $x=3$ and $x=\dfrac{7}{3}$
