Question

Twice the difference of a number and 7 equals 9. Use the variable x for the unknown number.

Answer 1

The equation 2(x - 7) = 9 leads us to find that x = 11.5. These steps illustrate solving an equation with one unknown.

Step-by-step explanation:

The question is asking us to find the number (represented by x) where twice the difference of x and 7 is equal to 9. First, we can translate this into an algebraic equation: 2(x - 7) = 9. To solve for x, we follow these steps:

1. Distribute the 2 into the parenthesis: 2x - 14 = 9.
2. Add 14 to both sides of the equation to isolate terms with x on one side: 2x = 23.
3. Divide both sides by 2 to solve for x: x = 23 / 2.
4. Simplify the right side: x = 11.5.

The main answer for the value of x is 11.5.