To solve the given problem and verify why Option 4 is the correct answer, we need to follow these steps: ### Step 1: Solve the Equation for \( x \) The given equation is: \[ \frac{x-4}{7} - 1 = \frac{5-x}{3} + x \] First, eliminate the fractions by finding a common denominator, which is 21. Multiply every term by 21: \[ 21 \left(\frac{x-4}{7}\right) - 21 \cdot 1 = 21 \left(\frac{5-x}{3}\right)…Read More