\[6x-9=1\]

1
Add 99 to both sides.
6x=1+96x=1+9

2
Simplify  1+91+9  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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