Questions: -1/12 x - 6 3/5 =

Solution Steps

To solve the equation \(-\frac{1}{12} x - 6 \frac{3}{5} = 0\), we need to isolate \(x\). First, convert the mixed number \(6 \frac{3}{5}\) to an improper fraction. Then, move the constant term to the other side of the equation and solve for \(x\).

Convert the mixed number \(6 \frac{3}{5}\) to an improper fraction: \[ 6 \frac{3}{5} = 6 + \frac{3}{5} = \frac{30}{5} + \frac{3}{5} = \frac{33}{5} \]

The original equation is: \[ -\frac{1}{12} x - 6 \frac{3}{5} = 0 \] Substitute the improper fraction: \[ -\frac{1}{12} x - \frac{33}{5} = 0 \]

Move the constant term to the other side of the equation: \[ -\frac{1}{12} x = \frac{33}{5} \]

Multiply both sides by \(-12\) to isolate \(x\): \[ x = -12 \cdot \frac{33}{5} = \frac{-12 \cdot 33}{5} = \frac{-396}{5} \]

Final Answer