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

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Answer 1 · 2017-10-15T23:50:36

#x=30#

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)