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(1/6)*x-(6*x)-(1/3) = -263/54 // + -263/54
(1/6)*x-(6*x)-(1/3)-(-263/54) = 0
(1/6)*x-6*x-1/3+263/54 = 0
245/54-35/6*x = 0 // - 245/54
-35/6*x = -245/54 // : -35/6
x = -245/54/(-35/6)
x = 7/9
x = 7/9
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