Write an equation and solve to find the numbers and show work.
10. Five less than the opposite of a number is three times the sum of the number and -7.
Let the number be "x".
Opposite of x = -x
According to the problem,
- x - 5 = 3(x - 7)
Simplifying,
-x - 5 = 3x - 21
Adding x to both sides,
-5 = 4x - 21
Adding 21 to both sides,
16 = 4x
Dividing by 4 on both sides,
x = 4
Therefore, the number is 4.