To solve the equation \( 3 - \frac{6}{5}x = -3 \), we will first isolate the term with \( x \).
-
Subtract 3 from both sides: \[ 3 - \frac{6}{5}x - 3 = -3 - 3 \] This simplifies to: \[ -\frac{6}{5}x = -6 \]
-
Now, multiply both sides by -1 to eliminate the negative sign: \[ \frac{6}{5}x = 6 \]
-
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. \( x = 5 \).