Questions: Solve. 5 - (1/6) x = 13/3

Solution Steps

To solve the equation \( 5 - \frac{1}{6} x = \frac{13}{3} \), we need to isolate \( x \). First, subtract 5 from both sides of the equation. Then, multiply both sides by -6 to solve for \( x \).

Starting with the equation: \[ 5 - \frac{1}{6} x = \frac{13}{3} \] Subtract 5 from both sides: \[ -\frac{1}{6} x = \frac{13}{3} - 5 \]

Convert 5 to a fraction with a common denominator: \[ 5 = \frac{15}{3} \] So the equation becomes: \[ -\frac{1}{6} x = \frac{13}{3} - \frac{15}{3} \] \[ -\frac{1}{6} x = \frac{13 - 15}{3} \] \[ -\frac{1}{6} x = -\frac{2}{3} \]

To isolate \( x \), multiply both sides by -6: \[ x = -6 \left( -\frac{2}{3} \right) \] \[ x = 4 \]

Final Answer