Question: Solve for x. 7 + \frac{20}{x} = 11 Simplify your answer as much as possible. x = \boxed{}

Solve for x. 7 + \frac{20}{x} = 11 Simplify your answer as much as possible. x = \boxed{}

Solution

Solve for \( x \) in the equation: \[ 7 + \frac{20}{x} = 11 \] Subtract 7 from both sides to isolate the fraction: \[ \frac{20}{x} = 11 - 7 \] \[ \frac{20}{x} = 4 \] Multiply both sides by \( x \) to eliminate the fraction: \[ 20 = 4x \] Divide both sides by 4 to solve for \( x \): \[ x = \frac{20}{4} \] \[ x = 5 \] The solution is \( x = 5 \).