Select the correct answer.Solve the rational equation.𝑥 + 6𝑥 − 3 = 47 A. x = 15 B. x = 10 C. x = 3 D. x = -18

Sure, let's solve the rational equation step by step:

Given equation: $\frac{x + 6}{x - 3} = 47$

Step 1: Eliminate the fraction by multiplying both sides of the equation by $x - 3$: $x + 6 = 47(x - 3)$

Step 2: Distribute 47 on the right side: $x + 6 = 47x - 141$

Step 3: Move all terms involving $x$ to one side and constant terms to the other side. Subtract $x$ from both sides: $6 = 46x - 141$

Step 4: Add 141 to both sides to isolate the term with $x$: $147 = 46x$

Step 5: Solve for $x$ by dividing both sides by 46: $x = \frac{147}{46}$

Step 6: Simplify the fraction if possible: $x = 3.19565217391$

Since none of the provided options (A. x = 15, B. x = 10, C. x = 3, D. x = -18) match the calculated value, it appears there might be an error in the problem setup or the provided options.

However, if we recheck the steps and the options, it seems there might be a mistake in the problem or the options given. The correct answer based on the calculation is approximately $x = 3.19565217391$, which does not match any of the given choices.