AT3 \( 8-x: 3=23 \)

To solve the equation \( 8 - x : 3 = 23 \), start by interpreting the equation correctly. The phrase “\( 8 - x : 3 \)” can be rewritten as \( \dfrac{8 - x}{3} = 23 \). Now, multiply both sides by 3 to eliminate the fraction, giving you \( 8 - x = 69 \). Next, isolate \( x \) by subtracting 8 from both sides, leading to \( -x = 61 \). Finally, multiply by -1 to solve for \( x \), yielding \( x = -61 \). Sometimes people rush when they see a division by a number and forget the multiplication part. Remember, it's crucial to clear the fraction before isolating the variable. Double-check your steps, and stay organized in your calculations to avoid mix-ups!