Answer:
x = -2, 4.
Explanation:
Given the absolute equation:
[tex]2-5|5x-5|=-73[/tex]First, we subtract 2 from both sides.
[tex]\begin{gathered} 2-2-5|5x-5|=-73-2 \\ -5|5x-5|=-75 \end{gathered}[/tex]Next, we divide both sides of the equation by -5.
[tex]\begin{gathered} \frac{-5|5x-5|}{-5}=\frac{-75}{-5} \\ |5x-5|=15 \end{gathered}[/tex]Next, we solve the absolute value.
[tex]5x-5=15\text{ or }5x-5=-15[/tex]Solving, we have:
[tex]\begin{gathered} 5x-5=15\implies5x=15+5\implies5x=20\implies x=\frac{20}{5}\implies x=4 \\ 5x-5=-15\implies5x=-15+5\implies5x=-10\implies x=\frac{-10}{5}\implies x=-2 \end{gathered}[/tex]Therefore:
x = -2, 4.
