Solve for x . 3−6/5x=−3 (1 point)

Answer 1

To solve the equation \( 3 - \frac{6}{5}x = -3 \), follow these steps:

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

2. Multiply both sides by -1: \[ \frac{6}{5}x = 6 \]

3. Solve for \( x \): Multiply both sides by the reciprocal of \( \frac{6}{5} \) (which is \( \frac{5}{6} \)): \[ x = 6 \cdot \frac{5}{6} \] Simplifying gives: \[ x = 5 \]

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