SOLUTION: Two-thirds of a number x decreased by 5 is 9. Find the number.

Question 147573: Two-thirds of a number x decreased by 5 is 9. Find the number.
Found 2 solutions by ptaylor, mangopeeler07:
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=the number
(2/3)x= two thirds of the number
(2/3)x-5= two thirds of the number decreased by 5 and we are told that this equals 9, so our equation to solve is:
(2/3)x-5=9 multiply each term by 3
2x-15=27 add 15 to each side
2x-15+15=27+15 collect like terms
2x=42 divide each side by 2
x=21----------------------------------------the number
CK
(2/3)*21-5=9
14-5=9
9=9

Hope this helps---ptaylor
Answer by mangopeeler07(462) (Show Source): You can put this solution on YOUR website!
If the original equation is , then multiply both sides by 3. Get . Then divide by two. . Then add five. .
If the orginal equation is , then add five first and get . Then multiply by 3/2 and get .
RELATED QUESTIONS
two-thirds of a number is decreased by 3 is 2 more than half the number. Find the... (answered by checkley77)
When twice one number is decreased by two-thirds of another number, the result is... (answered by Mathtut)
1. If two-thirds of a number is decreased by 30, the result is 10. Find the number. (answered by richwmiller)
If three-fourths of a number is decreased by two-thirds of the same number the result is... (answered by Fombitz)
could you help define this equation two-thirds of a number x decreased by... (answered by Earlsdon)
When seven is reduced by two-thirds of a number, the result is 9. Find the... (answered by macston)
Write an inequality for the given statement: Two-thirds of a number, decreased by 4, is... (answered by ewatrrr)
two-thirds of a number is 36. find the number (answered by Alan3354)
can you please help me with this (answered by ankor@dixie-net.com,BadLandsBarn)