Question 66888
Let x=the number

2x=twice the number
2x+6=six more than twice the number (exceeds twice the number by 6)

5x=five times the number

5x-9=five times the number diminished by 9

So we have :

5x-9=2x+6  subtract 2x from and add 9 to both sides

5x-2x-9+9=2x-2x+6+9  collect like terms

3x=15
x=5-------------------the number we are looking for

CK

5x-9=2x+6

25-9=10+6
16=16



Hope this helps----ptaylor