rayray9471 rayray9471
  • 18-01-2019
  • Mathematics
contestada

Twelve decreased by twice a number is the same as 8 times the sumof the number plus 4. What is the number?

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JeanaShupp
JeanaShupp JeanaShupp
  • 28-01-2019

Answer: The number is -2


Step-by-step explanation:

Let x be the number.

Then according to the question, we have the equation

[tex]12-2x=8(x+4)[/tex]

First open parenthesis on the right side by multiplying 8 inside, we get[tex]12-2x=8x+32[/tex]

Now, Subtract 32 and add 2x from both sides we get

[tex]\\\Rightarrow\ 12-32=8x+2x\\\Rightarrow-20=10x\\\Rightarrow\ x=\frac{-20}{10}\\\Rightarrow\ x=-2[/tex]

Hence the number is -2.

Answer Link
meredith48034
meredith48034 meredith48034
  • 18-02-2019
12-2x = 8(x+4)

12-2x = 8x+32

12-10x = 32

-10x = 20

x= -2
Answer Link

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