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12 votes
12 votes
(5 + x) + 0 = 5 + xI'm not sure how to do this

User Bbholzbb
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1 Answer

15 votes
15 votes

The addition property of 0 states that for any number being added to zero, the sum is the same number.

For instance,


\begin{gathered} 3+0=3 \\ (4)/(7)+0=(4)/(7) \end{gathered}

and so on.

In our case, we have in the left hand side:


(5+x)+0=5+x

that is, the given equation is equivalent to


5+x=5+x

Now, we can move 5 to the right hand side as -5, then we have


\begin{gathered} x=5-5+x \\ x=0+x \\ x=x \end{gathered}

This means that any value of x fulfil the given equation.

For instance, if x=3, we have


\begin{gathered} (5+3)+0=5+3 \\ 8+0=8 \\ 8=8 \end{gathered}

If x=13, we have


\begin{gathered} (5+13)+0=5+13 \\ 18+0=18 \\ 18=18 \end{gathered}

and so on.

User Saikiran Yerram
by
3.2k points