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What is the solution to this equation?

[tex]\[ 2x + 4 = 16 \][/tex]

A. [tex]\( x = 40 \)[/tex]

B. [tex]\( x = 24 \)[/tex]

C. [tex]\( x = 6 \)[/tex]

D. [tex]\( x = 10 \)[/tex]


Sagot :

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]