How do you solve #\frac { 3} { 4} + \frac { 5} { x - 6} = \frac { 29} { 12}#?

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Answer 1 · 2018-06-26T11:47:37

#x = 9 #

Rearrange:

#5/(x-6) = 29/12 - 3/4 #

#5/(x-6) = 5/3 #

Take the reciprocal of each side, i.e swap the numerator and denominator:

#(x-6)/5 = 3/5 #

Multiply both by #5 #

#x-6 = 3 #

#=> x= 9 #