Twice the difference of a number and 2 is equal to three times the sum of the number and 4

What is the number

Step-by-step explanation:

We are given that Twice the difference of a number and 2 is equal to three times the sum of the number and 4. And we have to tell the number.

Let the number be x

Its difference from 2 = x-2

Twice the difference = 2 (x-2)

Sum of number and 4 = x+4

Three times of the sum : 3 (x+4)

Hence 2 (x+2) = 3 (x+4)

2x+2*2=3x+3*4

2x+4=3x+12

Subtracting 12 and 2x from both sides.

4-12=3x-2x

-8=x

Hence the number is - 8