Question

Seven less than one-third of a number is the same as the product of five-thirds and the sum of that number and -5. What is the number?

Answer 1

$\frac{1}{3}  $x - 7 = $\frac{5}{3}  $(x - 5)

x - 21 = 5(x - 5)         multiplied 3 to both sides to eliminate the denominator

x - 21 = 5x - 25         distributed 5 into (x - 5) on the right side

   -21 = 4x - 25        subtracted "x" from both sides

     4 = 4x                added 25 to both sides

      1 = x                  divided both sides by 4

Answer: 1