Solve the equation 2x/3 = 12 for x.

• A. x = 12
• B. x = 24
• C. x = 18
• D. x = 36

Answer: (C)

To solve the equation ( \frac{2x}{3} = 12 ), the goal is to isolate ( x ).

First, multiply both sides of the equation by 3 to eliminate the fraction. This results in:

[ 2x = 12 \times 3. ]

Calculating the right side:

[ 12 \times 3 = 36. ]

Now the equation simplifies to:

[ 2x = 36. ]

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

[ x = \frac{36}{2}. ]

Calculating this gives:

[ x = 18. ]

Thus, the correct answer is ( x = 18 ). The process involved straightforward algebraic manipulations: clearing the fraction and isolating the variable. This leads to the solution that gives the value of ( x ) that satisfies the original equation.