(5) An 84-meter length of cable is cut so that one piece is 18 meters longer than the other. Find the length of each piece.

Step 1 ：Let the length of the shorter piece be x meters, and the length of the longer piece be (x + 18) meters. The total length of the cable is 84 meters, so we have the equation: \(x + (x + 18) = 84\)

Step 2 ：Solve the equation: \(2x + 18 = 84\) to find the value of x, which represents the length of the shorter piece. Then, find the length of the longer piece by adding 18 to x.

Step 3 ：Subtract 18 from both sides of the equation: \(2x = 66\)

Step 4 ：Divide both sides of the equation by 2: \(x = 33\)

Step 5 ：Now, find the length of the longer piece: \((x + 18) = (33 + 18) = 51\)

Step 6 ：\(\boxed{\text{Final Answer: The length of the shorter piece is 33 meters, and the length of the longer piece is 51 meters.}}\)