Certainly! Let's solve the equation step-by-step:
Given equation:
[tex]\[ 2x + 4 = 16 \][/tex]
Step 1: Subtract 4 from both sides to isolate the term with the variable [tex]\( x \)[/tex].
[tex]\[ 2x + 4 - 4 = 16 - 4 \][/tex]
This simplifies to:
[tex]\[ 2x = 12 \][/tex]
Step 2: Divide both sides by 2 to solve for [tex]\( x \)[/tex].
[tex]\[ \frac{2x}{2} = \frac{12}{2} \][/tex]
This simplifies to:
[tex]\[ x = 6 \][/tex]
Therefore, the solution to the equation [tex]\( 2x + 4 = 16 \)[/tex] is [tex]\( x = 6 \)[/tex].
The correct answer is:
C. [tex]\( x = 6 \)[/tex]