Question

8 more than four times a number is the same as 2/3 of the quanity of 9 plus a number. Find the value of the number.

Answer 1

4x + 8 = $\frac{2}{3}$(9 + x)

12x + 24 = 2(9 + x)             multiplied both sides by 3

12x + 24 = 18 + 2x             distributed 2 on the right side

10x + 24 = 18                      subtracted 2x from both sides

         10x = -6                     subtracted 24 from both sides

         $\frac{10x}{10} = \frac{-6}{10}$           divided both sides by 10

           x = $\frac{-3}{5}$

Answer: $\frac{-3}{5}$