Question

If you take a number, times by 3 then add 5. You get the same as if you took the number, times by 7 then subtract 8. What is the number?

Answer 1

`\displaystyle \boxed{3(1)/(4)}`

Explanation:

7n - 8 = 3n + 5

- 7n - 5 - 7n - 5

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`\displaystyle (-13)/(-4) = (-4n)/(-4) \\ \\ 3(1)/(4) = n`

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Answer 2

3x+5=7x-8
Subtract 5 from both sides
3x=7x-13
Subtract 7 from both sides
-4x= -13
Divide by -4
X= 13/4