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4 less than half a number is equal to 2 more than the number

1 Answer

3 votes

Answer:


-12

Explanation:

Let that number be
x. We can build an equation, and solve for
x.


4 less than half of
x is
x/2-4.


2 more than
x is
x+2.

We are given that the two quantities are equal, so we have that
x/2-4=x+2.

Adding
4 to both sides gives
x/2=x+6.

Multiplying both sides by
2 gives
x=2(x+6)=2x+12.

Subtracting
2x from both sides gives
-x=12.

Multiplying both sides by
-1 gives
x=-12.

So, the number is
\boxed{-12} and we're done!

The check is left as an exercise to the reader.

User Valfer
by
7.9k points

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