Sure, let's solve the equation step by step.
We are given:
[tex]\[ \frac{1}{8} (8x + 15) = 24 \][/tex]
1. Eliminate the fraction:
To get rid of the fraction, multiply both sides of the equation by 8:
[tex]\[ 8 \times \frac{1}{8} (8x + 15) = 8 \times 24 \][/tex]
Simplifying the left side, we get:
[tex]\[ 8x + 15 = 192 \][/tex]
2. Isolate the term with [tex]\(x\)[/tex]:
Subtract 15 from both sides:
[tex]\[ 8x + 15 - 15 = 192 - 15 \][/tex]
Simplifying both sides, we get:
[tex]\[ 8x = 177 \][/tex]
3. Solve for [tex]\(x\)[/tex]:
Divide both sides by 8:
[tex]\[ x = \frac{177}{8} \][/tex]
Thus, the value of [tex]\(x\)[/tex] is:
[tex]\[ x = \frac{177}{8} \][/tex]
So, the correct answer from the given options is:
[tex]\[ \frac{177}{8} \][/tex]
