Given:
The equation is
[tex]-5x-16=8[/tex]
To find:
The error and correct solution.
Solution:
We have,
[tex]-5x-16=8[/tex]
Add 16 on both sides.
[tex]-5x-16+16=8+16[/tex]
[tex]-5x=24[/tex]
Divide both sides by -5.
[tex]\dfrac{-5x}{-5}=\dfrac{24}{-5}[/tex]
[tex]x=-\dfrac{24}{5}[/tex]
Third step is incorrect because he divide the equation by 5 instead of -5.
Therefore, the correct solution is [tex]x=-\dfrac{24}{5}[/tex].