when 8 is added to a certain number, the result is 3 times as large as when 2 is subtracted from the number. what is the correct number?
put the words into math:
8+x = 3(x-2)
Now just solve for x.
8 + n = 3 (n-2)
8 + n = 3n - 6
14 = 2n
7 = n
I don't understand pls give me the correct answer
To solve this problem, we need to set up an equation based on the given information. Let's assume the certain number is represented by "x".
According to the problem, "when 8 is added to a certain number, the result is 3 times as large as when 2 is subtracted from the number." Mathematically, we can represent this as:
x + 8 = 3(x - 2)
Now, we can solve this equation to find the value of x.
Expanding the equation:
x + 8 = 3x - 6
Moving all the x terms to one side and the constant terms to the other side:
x - 3x = -6 - 8
-2x = -14
Dividing both sides by -2 to isolate x:
x = (-14) / (-2)
x = 7
Therefore, the correct number is 7.