Answer:
5
Explanation:
To solve for the number in the equation "four times the difference of a number and two is twelve," you can follow these steps:
Start by defining the unknown number. Let's call it "x."
Translate the problem into an equation:
"Four times the difference of a number and two" can be represented as 4(x - 2).
Set up the equation based on the information given:
4(x - 2) = 12
Now, solve for x by isolating it on one side of the equation. First, distribute the 4 on the left side of the equation:
4x - 8 = 12
Next, add 8 to both sides of the equation to isolate the 4x term:
4x - 8 + 8 = 12 + 8
4x = 20
Finally, divide both sides by 4 to find the value of x:
4x / 4 = 20 / 4
x = 5
So, the number you're looking for is 5.