A number decreased by 6 is the same as twice the number increased by 8. What is the number?
n - 6 = 2n + 8
- 14 = n
Idk
To solve this problem, let's break it down step by step.
Let's assume the number we're trying to find is "x".
According to the problem, "A number decreased by 6" can be written as "x - 6".
The problem also states that this expression is equal to "twice the number increased by 8". In other words, "2 times the number" can be written as "2x", and "increased by 8" can be written as "+ 8".
So, we can write the equation as follows:
x - 6 = 2x + 8
Now, we need to solve for "x". To do that, let's simplify the equation:
x - 2x = 8 + 6
Simplifying further:
-x = 14
To isolate "x", we can multiply both sides of the equation by -1:
(-1)(-x) = (-1)(14)
This gives us:
x = -14
Therefore, the number we're looking for is -14.