How do you solve #\frac { x } { 6} - \frac { 1} { 9} = 2#?

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Answer 1 · 2016-10-26T19:00:34

#x = 38/3 = 12(2/3)#

Keeping the equation balanced get each piece of the equation with a common denominator gives:

#(3x)/18 - 2/18 = 36/18#

Multiple each side by #18# to give:
#18((3x)/18) - 18(2/18) = 18(36/18)#

#3x - 2 = 36#

Solving for #x# gives:

#3x - 2 + 2 = 36 + 2#

#3x = 38#

#x = 38/3 = 12(2/3)#