Five times the sum of a number and fourteen is twenty. find the number
5(x+14) = 20
5x + 70 =20
5x = -50
x = -10
Thank you?
Let's solve this equation step-by-step:
1. Let's assume the number is represented by the letter "x".
2. The sum of a number and fourteen can be written as "x + 14".
3. Five times the sum of a number and fourteen can be written as "5(x + 14)".
4. According to the problem, this expression is equal to twenty. So we have the equation: 5(x + 14) = 20.
5. Let's solve this equation step-by-step:
5(x + 14) = 20
Distributing the 5
5x + 70 = 20
6. Now, let's isolate the variable "x" by subtracting 70 from both sides of the equation:
5x + 70 - 70 = 20 - 70
5x = -50
7. Finally, divide both sides of the equation by 5 to solve for "x":
(5x)/5 = -50/5
x = -10
Therefore, the number is -10.
To find the number, we can solve the equation step by step.
Let's call the number "x".
The sum of a number and fourteen can be written as "x + 14".
Five times the sum of a number and fourteen is written as "5(x + 14)".
According to the problem, "Five times the sum of a number and fourteen is twenty", we can set up the equation:
5(x + 14) = 20
Now, let's solve the equation:
5x + 70 = 20
Subtract 70 from both sides to isolate the variable:
5x = 20 - 70
5x = -50
Divide both sides by 5 to solve for x:
x = -50 / 5
x = -10
So, the number is -10.