How do you solve #5/12x+1/6=-4/3#?

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Answer 1 · 2017-02-13T05:58:58

#x=-3 3/5#

#5/12x+1/6=-4/3#

Multiply all terms by the LCM #12#.

#(12xx5/12x)+(12xx1/6)=-(12xx4/3)#

#(1cancel12xx5/(1cancel12)x)+(2cancel12xx1/(1cancel6))=-(4cancel12xx4/(1cancel3))#

#5x+2=-16#

Subtract #2# from each side.

#5x=-18#

Divide both sides by #5#.

#x=-18/5#

#x=-3 3/5#