To solve the equation \( 340 - \left(\frac{220}{x} + 32\right) = 286 \), we can follow these steps:
Simplify the equation: \[ 340 - 32 - \frac{220}{x} = 286 \] \[ 308 - \frac{220}{x} = 286 \]
Now, isolate the term involving \( x \): \[ 308 - 286 = \frac{220}{x} \] \[ 22 = \frac{220}{x} \]
Multiply both sides by \( x \) to eliminate the fraction: \[ 22x = 220 \]
Finally, solve for \( x \): \[ x = \frac{220}{22} = 10 \]
So, the solution to the equation is \( x = 10 \).
