The solution is x=10. The number is 10.
Let's denote the unknown number as x.
The phrase "eight more than four times a number" can be expressed as 4x+8.
The phrase "two less than five times the number" can be expressed as 5x−2.
According to the given information, the two expressions are equal:
4x+8=5x−2
Now, solve for x:
Subtract 4x from both sides:
8=x−2
Add 2 to both side
10=x
Therefore, the solution is x=10. The number is 10.
Question
Eight more than four times a number is the same as two less than five times the number. What is the number?