destinygarcia0919 destinygarcia0919
  • 02-05-2018
  • Mathematics
contestada

3 times a number plus 12 minus 5 times the same number is 22

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Jerithza1
Jerithza1 Jerithza1
  • 02-05-2018
The number is 5 because 5 times 3 is 15 plus 12 - 5 is 22 :0
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kkmaury4
kkmaury4 kkmaury4
  • 02-05-2018
3 times a number (3x) plus 12 (+ 12) minus times the same number (- 5x) is 22.

HERE'S THE EQUATION:

 [tex]3x+12-5x=22[/tex]

COMBINE LIKE TERMS (3x + -5x):

-2x +12 = 22

SUBTRACT 12 TO ISOLATE -2x:

-2x +12 = 22
       -12    -12
= -2x = 10

DIVIDE BY 2 TO ISOLATE X:

[tex] \frac{-2x}{-2} = \frac{10}{-2} [/tex]

FINAL ANSWER:
x = -5


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