Solve for x in the equation 2x/3 = 8.

To solve the equation ( \frac{2x}{3} = 8 ), start by isolating ( x ). First, you can eliminate the fraction by multiplying both sides of the equation by 3. This gives:

[ 2x = 8 \times 3

]

Calculating the right side:

[ 2x = 24 ]

Next, to solve for ( x ), divide both sides by 2:

[ x = \frac{24}{2} ]

This simplifies to:

[ x = 12 ]

Thus, the solution to the equation is ( x = 12 ), confirming that this choice represents the correct answer. The value of ( x ) indicates that when substituting back into the original equation, the left side ( \frac{2(12)}{3} ) does indeed equal the right side, which is 8, verifying that the solution is accurate.