Question

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

Answer 1

12-2x = 8(x+4)

12-2x = 8x+32

12-10x = 32

-10x = 20

x= -2

Answer 2

Answer: The number is -2

Explanation:

Let x be the number.

Then according to the question, we have the equation

`12-2x=8(x+4)`

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

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

`\\\Rightarrow\ 12-32=8x+2x\\\Rightarrow-20=10x\\\Rightarrow\ x=(-20)/(10)\\\Rightarrow\ x=-2`

Hence the number is -2.