To solve the equation \( 340 - \left( \frac{220}{x} + 32 \right) = 286 \), follow these steps:
First, isolate the term containing \( x \): \[ 340 - 286 = \frac{220}{x} + 32 \] \[ 54 = \frac{220}{x} + 32 \]
Next, subtract 32 from both sides: \[ 54 - 32 = \frac{220}{x} \] \[ 22 = \frac{220}{x} \]
Now, multiply both sides by \( x \) to eliminate the fraction: \[ 22x = 220 \]
Finally, divide both sides by 22 to solve for \( x \): \[ x = \frac{220}{22} \] \[ x = 10 \]
So, the solution is \( x = 10 \).
