How do you solve #\frac { 3} { 9} ( x + 6) = 12#?

1 Answer
Oct 15, 2017

#x=30#

Explanation:

Begin by multiplying both sides by #9/3#, the reciprocal of #3/9# to cancel the fraction on the left.

#(cancel9/cancel3)(cancel3/cancel9)(x+6)=12(9/3)#

Simplifying gives

#x+6=36#

Subtract 6 from both sides to get

#x=30#

(At the beginning you also could have simplified #3/9# to #1/3# to make the problem a bit easier)