Question

-5 times the difference of twice a number and 9 is 7. Find the number

Answer 1

X=-1.6

The equation for this is -5*2x-9=7

Answer 2

The answer is:

n = 26/5

Work/explanation:

The difference is the result of subtracting one number from another one.

So the difference of twice a number and 9 means we subtract twice a number (let n be that number) and 9: 2n - 9

Next, 5 times that difference is 5(2n - 9)

Finally, this equals 7 : 5(2n - 9) = 7

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Use the distributive property

`\sf{5(2n-9)=7}`

`\sf{10n-45=7}`

Add 45 on each side

`\sf{10n=7+45}`

`\sf{10n=52}`

Divide each side by 10

`\sf{n=(52)/(10)}\\\\\\\sf{n=(26)/(5)}`

Hence, n = 26/5.