Let's solve the given equation step-by-step:
The given equation is:
[tex]\[ 3x = 156 \][/tex]
To find the value of [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex] on one side of the equation. We can do this by dividing both sides of the equation by 3.
Dividing both sides by 3, we get:
[tex]\[ x = \frac{156}{3} \][/tex]
When we divide 156 by 3, we obtain:
[tex]\[ x = 52 \][/tex]
Therefore, the solution to the equation [tex]\( 3x = 156 \)[/tex] is:
[tex]\[ x = 52 \][/tex]
Hence, the correct answer is:
D. [tex]\( x = 52 \)[/tex]