Solve for x.

Question

3 - 6/5x = -3
A. x = -5
B. x = 5
C. x = 6
D. x = 0

Answer 1

To solve the equation \( 3 - \frac{6}{5}x = -3 \), we will first isolate the term with \( x \).

1. Subtract 3 from both sides: \[ 3 - \frac{6}{5}x - 3 = -3 - 3 \] This simplifies to: \[ -\frac{6}{5}x = -6 \]

2. Now, multiply both sides by -1 to eliminate the negative sign: \[ \frac{6}{5}x = 6 \]

3. Next, multiply both sides by the reciprocal of \(\frac{6}{5}\) which is \(\frac{5}{6}\): \[ x = 6 \cdot \frac{5}{6} \] The \(6\) in the numerator and denominator cancel out: \[ x = 5 \]

Thus, the solution for \( x \) is: \[ \boxed{5} \]

So the correct answer is B. \( x = 5 \).

Answer 2

Are you sure this is correct

Answer 3

Let's double-check the solution step by step for the equation \( 3 - \frac{6}{5}x = -3 \).

1. Start with the given equation: \[ 3 - \frac{6}{5}x = -3 \]

2. Subtract \( 3 \) from both sides to isolate the term with \( x \): \[ -\frac{6}{5}x = -3 - 3 \] This simplifies to: \[ -\frac{6}{5}x = -6 \]

3. Now, multiply both sides by -1 to get rid of the negative sign: \[ \frac{6}{5}x = 6 \]

4. Next, multiply both sides by the reciprocal of \(\frac{6}{5}\), which is \(\frac{5}{6}\): \[ x = 6 \cdot \frac{5}{6} \] The \( 6 \) cancels out, leaving us with: \[ x = 5 \]

Thus, the final solution is indeed: \[ \boxed{5} \]

So, the original computation was correct, and the answer is \( B. x = 5 \). If you have any further questions or need clarification, feel free to ask!