\[6x-1=9\]
1
Add 11 to both sides.
6x=9+16x=9+1

2
Simplify  9+19+1  to  1010.
6x=106x=10

3
Divide both sides by 66.
x=106x=\frac{10}{6}

4
Simplify  106\frac{10}{6}  to  53\frac{5}{3}.
x=53x=\frac{5}{3}

Done

Decimal Form: 1.666667

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