If 6 is added to twice a number and this sum is multiplied by 5​, the result is the same as if the number is multiplied by negative 3 and 4 is added to the product

Respuesta :

Answer:

  -2

Step-by-step explanation:

We assume you want to find the number. Let it be represented by x.

  (6+2x)·5 = -3x +4 . . . . . the meaning of the problem statement

  30 +10x = -3x +4 . . . . . eliminate parentheses

  26 +13x = 0 . . . . . . . . . add 3x-4 to both sides

  2 + x = 0 . . . . . . . . . . . . divide by 13

  x = -2 . . . . . . . . . . . . . . subtract 2

The number is -2.

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