Step 1 :Translate the phrase 'eight decreased by thirteen times a number' into a mathematical expression. The word 'decreased by' suggests subtraction, and 'thirteen times a number' suggests multiplication.
Step 2 :Therefore, the phrase can be written as \(8 - 13x\), where \(x\) represents 'a number'.
Step 3 :Final Answer: The variable expression for the phrase 'eight decreased by thirteen times a number' is \(\boxed{8 - 13x}\).