Final answer:
To solve the equation 3x - 1/4 = 8, we isolate the x term and find that x equals 34/3.
Step-by-step explanation:
The student has asked to determine the value of x that satisfies the equation 3x - ⅔ = 8. To solve this, we add ⅔ to both sides of the equation to isolate the term with x on one side. The equation then becomes 3x = 8 + ⅔. The next step is to convert the mixed number to an improper fraction, which results in 8 + ⅔ = ⅖. Adding these together gives us 3x = ⅖. To find the value of x, we then divide both sides of the equation by 3, yielding x = ⅖ ÷ 3, which simplifies to x = ⅖.