Answer:
[tex]x = -13\frac{1}{2}[/tex]
Step-by-step explanation:
Eight less than a third of a number is the sum of that number and one.
Let the number be x.
That is:
[tex]\frac{1}{3}x - 8 = x + 1\\ \\=> x - \frac{1}{3}x = -8 - 1 \\\\\frac{2}{3}x = -9\\\\x = -9 * \frac{3}{2}\\ \\x = \frac{-27}{2}[/tex]
[tex]x = -13\frac{1}{2}[/tex]