Question

Twice the difference of a number and 3 is equal to three times the sum of the number and 4 . Find the number. The number is __.

Answer 1

Let's call the number we're trying to find "x."

According to the information given, we can create an equation based on the problem statement:

"Twice the difference of a number and 3 is equal to three times the sum of the number and 4."

This can be represented as:

2(x - 3) = 3(x + 4)

Now, let's solve this equation for x:

2x - 6 = 3x + 12

Now, let's isolate x on one side of the equation. First, subtract 2x from both sides of the equation:

-6 = x + 12

Now, subtract 12 from both sides to isolate x:

-18 = x

So, the number is -18.

Explanation: