To solve the equation \( 18 - (x - 5) = 10 \), follow these steps:
Distribute the negative sign in the parentheses: \[ 18 - x + 5 = 10 \]
Combine like terms (18 and 5): \[ 23 - x = 10 \]
Now, isolate \( x \) by subtracting 23 from both sides: \[ -x = 10 - 23 \] \[ -x = -13 \]
Multiply both sides by -1 to get \( x \): \[ x = 13 \]
So the solution is: \[ x = 13 \]