Question #45058

1 Answer
Mar 15, 2016

The number is #7#

Explanation:

Step 1:
Call the number x.

Step 2:
#9# less than #5# times #x# is equal to #2# times ( #x# plus #6# )

Can be translate into math by:
#5x-9=2(x+6)#

Step 3:
Solve for #x# in : #5x-9=2(x+6)#

#rarr 5x-9=2xxx+2xx6#

#rarr 5x-9=2x+12#

#rarr 5x-9color(red)(+9)=2x+12color(red)(+9)#

#rarr 5x=2x+21#

#rarr 5xcolor(red)(-2x)=2xcolor(red)(-2x)+21#

#rarr 3x=21#

#rarr (3x)/color(red)3=21/color(red)3#

#x=color(blue)7#