Answer :

Sure! Let's go through the steps to prove that [tex]\( x = 3 \)[/tex] using the given equation [tex]\( 3x + 7 = 16 \)[/tex].

Step 1: Start with the given equation.
The equation given is:
[tex]\[ 3x + 7 = 16 \][/tex]

Step 2: Isolate the term with [tex]\( x \)[/tex].
To isolate the term with [tex]\( x \)[/tex], subtract 7 from both sides of the equation:
[tex]\[ 3x + 7 - 7 = 16 - 7 \][/tex]
[tex]\[ 3x = 9 \][/tex]

Step 3: Solve for [tex]\( x \)[/tex].
Now, divide both sides of the equation by 3 to solve for [tex]\( x \)[/tex]:
[tex]\[ \frac{3x}{3} = \frac{9}{3} \][/tex]
[tex]\[ x = 3 \][/tex]

By following these steps, we have proven that [tex]\( x = 3 \)[/tex] is the solution to the equation [tex]\( 3x + 7 = 16 \)[/tex].