Question

twice the difference of a number and 8 is equal to three times the sum of the number and 8. find the number

Answer 1

The above answer is incorrect. The correct answer and equation is below:
2(x-8) = 3(x+8)
2x - 16 = 3x + 24
_____ ______
-24 -24
______________
2x - 40 = 3x
_____________
-2x. -2x
____________
-40 = 1x

So x = -40
______________

Answer 2

-24

Explanation:

2(x-8)=3x+3

2x-16+16=3x+8+16

2x=3x+24

2x-3x=3x+24-3x

-x=24

x=-24