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.

1 answer

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.
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