To solve the equation \( \frac{3 - 6}{5x} = -3 \), we first simplify the left side:
-
Simplify \( 3 - 6 \): \[ 3 - 6 = -3 \]
-
Substitute this back into the equation: \[ \frac{-3}{5x} = -3 \]
-
To eliminate the fraction, multiply both sides by \( 5x \) (assuming \( x \neq 0 \)): \[ -3 = -3 \cdot 5x \]
-
Simplify the right side: \[ -3 = -15x \]
-
Now, divide both sides by -15: \[ x = \frac{-3}{-15} \]
-
Simplify the fraction: \[ x = \frac{1}{5} \]
So the value of \( x \) is \( \frac{1}{5} \).