x+(2/9)-1=2x+(1/18)-(x/6)|×18-для данного уравнения общий знаменатель.
18×х+2×2-1×18=2х×18+1-3×х
18х+4-18=36х+1-3х
18х-36х+3х=1-4+18
-15х=15|÷-15
х=-1
Проверка:
-1+(2/9)-1=2×(-1)+(1/18)-(-1/6)
-2+(2/9)=-2+(1/18)+(1/6)
(-2×9+2)/9=(-2×18+1×1+1×3)/18
(-18+2)/9=(-36+1+3)/18
-(16/9)=-(32/18)
-(16/9)=-(16/9)- истина.