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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?

Respuesta :

tramserran

[tex] \frac{1}{3}  [/tex]x - 7 = [tex] \frac{5}{3}  [/tex](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

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