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When [tex]x = 5[/tex] in the equation:

[tex]
\begin{array}{c}
x + 7 = 15 \\
(5) + 7 = 15 \\
12 = 15
\end{array}
[/tex]

Is this TRUE or FALSE?

Answer :

Sure, let's solve the equation step-by-step to determine if the statement is true or false.

We start with the given equation:

[tex]\[ x + 7 = 15 \][/tex]

Next, we substitute [tex]\( x = 5 \)[/tex] into the equation:

1. Replace [tex]\( x \)[/tex] with 5:
[tex]\[ 5 + 7 = 15 \][/tex]

2. Calculate the left side of the equation:
[tex]\[ 5 + 7 = 12 \][/tex]

3. Now, compare the result from the left side with the right side. This gives us:
[tex]\[ 12 = 15 \][/tex]

The two sides are not equal, hence this statement is actually FALSE. So, when [tex]\( x = 5 \)[/tex], the equation [tex]\( x + 7 = 15 \)[/tex] does not hold true.

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