Five times the difference of twice a number and thirteen is negative five. Find the number
5(2n-15) = -5
10 n - 75 = -5
10 n = 70
n = 7
To find the number, we need to set up an equation based on the given information.
Let's assume the number we are looking for is represented by "x".
The difference of twice the number and thirteen can be expressed as (2x - 13).
We are told that five times this difference is equal to negative five. So, we can write the equation as follows:
5(2x - 13) = -5
Now, let's solve the equation step-by-step to find the value of "x".
Step 1: Distribute the 5 to the terms inside the parentheses:
10x - 65 = -5
Step 2: Add 65 to both sides of the equation to isolate the x-term:
10x - 65 + 65 = -5 + 65
Simplifying:
10x = 60
Step 3: Divide both sides of the equation by 10 to solve for x:
10x/10 = 60/10
Simplifying:
x = 6
So, the number we are looking for is x = 6.
To find the number, let's break down the given information into an equation.
Let's assume the number is represented by "x".
The difference of twice the number and thirteen can be written as: (2x - 13).
According to the problem, five times this difference is negative five. So, we can set up the equation:
5(2x - 13) = -5
To solve this equation, we'll follow these steps:
1. Distribute the 5 to both terms inside the parentheses:
10x - 65 = -5
2. Now, let's isolate the variable term.
Add 65 to both sides of the equation:
10x = 60
3. Divide both sides by 10 to solve for x:
x = 6
Therefore, the number is 6.