Answer :

Let's solve the given equation step by step to find the value of [tex]\( x \)[/tex].

The equation we are given is:
[tex]\[ 5x + 11 = 317 \][/tex]

To solve for [tex]\( x \)[/tex], follow these steps:

1. Subtract 11 from both sides of the equation:

[tex]\[ 5x + 11 - 11 = 317 - 11 \][/tex]

This simplifies to:
[tex]\[ 5x = 306 \][/tex]

2. Divide both sides of the equation by 5 to isolate [tex]\( x \)[/tex]:

[tex]\[ x = \frac{306}{5} \][/tex]

3. Simplify the division:

[tex]\[ x = 61.2 \][/tex]

Therefore, the value of [tex]\( x \)[/tex] is:
[tex]\[ x = 61.2 \][/tex]