Question

Solve: x/2-3x/4+x/6=(-2)/3

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Answer 1

original equation

`(x)/(2)-(3x)/(4)+(x)/(6)=-(2)/(3)`

multiply by lcd

`12((x)/(2))-12((3x)/(4))+12((x)/(6)) =-12((2)/(3))\\\\6x-9x+2x=-8`

isolate for x

`-1x=-8\\\\x=8`

verify

`(8)/(2)-(3(8))/(4)+(8)/(6)=-(2)/(3)\\\\4-6+(4)/(3)=-(2)/(3)\\\\4-2+(4)/(3)=-(2)/(3)\\\\-(2)/(3)=-(2)/(3)\\\\LS=RS`