Conquer the College Math Placement Challenge 2025 – Step Up and Shine!

Question: 1 / 400

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

x = 10

x = 12

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.

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x = 14

x = 16

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