SOLUTION: Four times the difference between a number and 5 is equal to the number increased by 4 What is the number?

Question 843279: Four times the difference between a number and 5 is equal to the number increased by 4 What is the number?
Answer by 1335(25) (Show Source): You can put this solution on YOUR website!
Four times the difference of a number and 5 means equates to: 4(x-5), with x being the unknown number.
You also know that this equation is equal to the number, x, increased by 4. So you now know that 4(x+5) is equal to (x+4). Now distribute the four in the first equation and get 4x-20. You also know that 4x-20 is also equal to x+4 or "4x-20=x+4". You can now simplify by subtracting an "x" from both sides, which will give you 3x-20=4. You can now add twenty to both sides and get 3x=24. Finally, divide both sides by 3 and you will get the answer: "x equals 8".
RELATED QUESTIONS
Four times a number is equal to the number increased by fifty-one. Find the... (answered by Alan3354)

Four times the difference of a number and 2 is the same as 2 increased by four times the... (answered by mananth)

five times the difference of a number and 4 is the same as 4 increased by five times the... (answered by mananth)

wright these is equations 1: seventeen is four times the sum of a number and two... (answered by solver91311)

8 times the difference between a number and 6 is equal to 4 times the number. What... (answered by MathLover1)

fifteen more than four times a number is equal to the difference between 113 and three... (answered by stanbon)

seventeen more than four times a number is equal to the difference between -74 and three... (answered by cornelius.bayler)

five times the difference of a number and 4 is the same as 4 increased by five times the... (answered by mananth)

The difference of 5 times a number and 9 equals the number increased by two. What is the... (answered by jim_thompson5910)