Solve this equation. Check for extraneous solution. Show all work9|9-8x|=2x+3

Answer:
Explanation:
Given:
[tex]9|9\text{ - 8x\mid = 2x + 3}[/tex]To find:
the solution to the equation
[tex]\begin{gathered} 9|9\text{ - 8x\mid= 2x + 3} \\ \\ divide\text{ both sides by 9:} \\ \frac{9|9-8x\mid}{9}\text{= }\frac{2x+3}{9} \\ \\ |9\text{ - 8x\mid= }\frac{2x}{9}\text{ + }\frac{3}{9} \end{gathered}[/tex][tex][/tex]