1. Stating the problem: Solve the equation $8x + 3x = 12 \times 2x$ for $x$. 2. Combine like terms on the left side: $8x + 3x = 11x$. 3. Rewrite the equation as $11x = 12 \times 2x$. 4. Simplify the right side: $12 \times 2x = 24x$. 5. The equation is now $11x = 24x$. 6. Subtract $11x$ from both sides to isolate terms: $11x - 11x = 24x - 11x$ which simplifies to $0 = 13x$. 7. To solve for $x$, divide both sides by 13: $\frac{0}{13} = x$. 8. This gives $x = 0$. Final answer: $x = 0$. Explanation: When the variable terms are on both sides, combine like terms and isolate $x$. Here, the only solution is zero because the equation balances only when $x$ is zero.