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10) If ten is added to four times a certain number, the sum is four less than five times the number. Find the number.​

Respuesta :

Answer:

x = 14

Step-by-step explanation:

let the number be x.

  • 4 times the number = 4x
  • 10 added to 4 times the number = 4x + 10

now,

  • 5 times the number = 5x
  • 4 less than 5 times the number = 5x - 4

Given that,

4x + 10 = 5x - 4

moving all x terms to the LHS and the constants to the RHS

4x - 5x = -4 - 10

-x = -14

dividing both sides by -1

x = 14

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