Twice the sum of a number and 7 is equal to three times the difference of the number and 8. Find the number.

Answer 1

2(x+7) = 3(x-8)

2x +14=3x-24

2x -3x= -24 -14

-x = -38 (cancel negative sign both side then)

x= 38

Answer 2

Let the number be a.

Twice the sum of a number and 7 => 2(a+7)

Three times the difference of a number and 8 => 3(a-8)

Since both equations are equal, we have:

2(a+7) = 3(a-8); a = 38