Five times the difference of twice a number and thirteen is negative five. Find the number
5(2n-13) = -5
10n - 65 = -5
10n = 60
n = ?
Right.
To solve this problem, let's break it down step by step.
Let's start by defining the variable for the number we're trying to find. Let's call it "x."
"Twice a number" can be written as 2x.
Now, we have the difference of 2x and thirteen. The difference is found by subtracting thirteen from 2x. So the expression for the difference is 2x - 13.
According to the problem, "five times the difference of twice a number and thirteen" is equal to negative five. Mathematically, we can write this as:
5(2x - 13) = -5
To solve for x, we need to isolate the variable on one side of the equation. Let's solve step by step:
1. Distribute 5 to the terms inside the parentheses:
10x - 65 = -5
2. Move -65 to the right side by adding 65 to both sides of the equation:
10x = 60
3. Divide both sides of the equation by 10:
x = 6
So the number we were looking for is x = 6.