x-1/2+x-1/3+x-1/6=2 help

x-1/2+x-1/3+x-1/6=2
help

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  1. `(x-1)/2+(x-1)/3+(x-1)/6=2`

    `⇒[3.(x-1)+2.(x-1)+(x-1)]/6=2`

    `⇒[3.(x-1)+2.(x-1)+(x-1)]/6=12/6`

    `⇒3.(x-1)+2.(x-1)+(x-1)=12`

    `⇒3.x-3.1+2.x-2.1+x-1=12`

    `⇒3x-3+2x-2+x-1=12`

    `⇒(3x+2x+x)-(3+2+1)=12`

    `⇒6x-6=12`

    `⇒6(x-1)=12`

    `⇒x-1=12÷6`

    `⇒x-1=2`

    `⇒x=2+1`

    `⇒x=3`

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