Twice the difference of a number and 8 is equal to three times the sum of the number and 3. Find the number

X=number looked for

Twice the difference of a number and 8=2 (x-8)

Three times the sum of the number and 3=3 (x+3)

We suggest this equation:

2 (x-8) = 3 (x+3)

2x-16=3x+9

2x-3x=9+16

-x=25

x=-25

The number is - 25.

To check:

Twice the difference of a number and 8=2 (-25-8) = 2 (-33) = - 66

Three times the sum of the number and 3=3 (-25+3) = 3 (-22) = - 66