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5 February, 03:08

Twice the opposite of a number is increased by 5 and this sum is multiplied by 2. The result is 22 greater than the number. What is the number?

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  1. 5 February, 05:25
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    Okay so lets look at what it says.

    Opposite in the case of math almost always means negative. So (2 (-n) + 5) * 2. This can be simplified to (-2n+5) * 2 = 22 + n

    Again, simplify it and its - 4n+10 = 22 + n

    Subtract 10 from both sides and its - 4n = 12 + n

    Add 4n to both sides and you get 0 = 12 + 5n

    Subtract 12 from both sides and its 5n = - 12.

    Divided both sides by five and you have n = - 12/5
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