Given the equation :
[tex]-4|3x-5|+11=-13[/tex]Solve for x:
subtract 11 from both sides
[tex]\begin{gathered} -4|3x-5|+11-11=-13-11 \\ \\ -4|3x-5|=-24 \end{gathered}[/tex]Divide both sides by ( -4 )
[tex]\begin{gathered} \frac{-4|3x-5|}{-4}=\frac{-24}{-4} \\ \\ |3x-5|=6 \\ \\ so, \\ 3x-5=\pm6 \\ 3x-5=6\text{ OR 3x-5=-6} \\ 3x-5=6 \\ 3x=6+5 \\ 3x=11 \\ x=\frac{11}{3} \\ or \\ 3x-5=-6 \\ 3x=-6+5 \\ 3x=-1 \\ x=-\frac{1}{3} \\ \\ x=\frac{11}{3}OR-\frac{1}{3} \end{gathered}[/tex]so, the answer is x = {11/3 , -1/3 }
