Question

Enter the answer in the space provided. A teacher writes a number set on the board, as shown. 5,6,7,8 What value of x in the number set makes 6(2x+12)=144, a true statement?

Answer 1

To find the value of x that satisfies the equation 6(2x+12)=144, distribute the 6 into the parentheses, subtract 72 from both sides, and then divide by 12, resulting in x = 6.

Step-by-step explanation:

The question asks to find the value of x in the number set that makes the equation 6(2x+12)=144 a true statement. This is solved by first expanding the equation and then isolating x on one side.

First, we must distribute the 6 across the terms inside the parentheses:
6 * 2x + 6 * 12 = 144
12x + 72 = 144

Next, subtract 72 from both sides to isolate the term with x:
12x = 144 - 72
12x = 72

Finally, divide by 12 to solve for x:
x = 72 / 12
x = 6

The value of x that makes the equation true is 6, which is part of the number set written on the board.