Question

If the product of a number and -7 is reduced by 3, the resulting number is 33 less than twice the opposite of that number. what is the number?

Answer 1

x - the number

the product of the number and -7 → x × (-7) = -7x
reduced by 3 → -7x-3
the opposite of the number → -x
twice the opposite of the number → 2 × (-x)= = -2x
the product of the number and -7 reduced by 3 is 33 less than twice the opposite of the number → -7x-3=-2x-33


`-7x-3=-2x-33 \\ -7x+2x=-33+3 \\ -5x=-30 \\ x=(-30)/(-5) \\ x=6`

The number is 6.