VIII. \( 9 x-5=50 \)

To solve the equation: \[ 9x - 5 = 50 \] follow these steps: ### Step 1: Add 5 to Both Sides To isolate the term containing \( x \), add 5 to both sides of the equation: \[ 9x - 5 + 5 = 50 + 5 \] Simplifying both sides: \[ 9x = 55 \] ### Step 2: Divide Both Sides by 9 Now, solve for \( x \) by dividing both sides by 9: \[ x = \frac{55}{9} \] ### Step 3: Simplify the Fraction (Optional) You can express \( \frac{55}{9} \) as a mixed number or a decimal: - **Mixed Number:** \[ \frac{55}{9} = 6 \frac{1}{9} \] - **Decimal Form:** \[ \frac{55}{9} \approx 6.111\ldots \] ### **Final Answer:** \[ x = \frac{55}{9} \quad \text{or} \quad x = 6 \frac{1}{9} \quad \text{or} \quad x \approx 6.111 \]