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

2
Simplify  1+11+1  to  22.
6x=26x=2

3
Divide both sides by 66.
x=26x=\frac{2}{6}

4
Simplify  26\frac{2}{6}  to  13\frac{1}{3}.
x=13x=\frac{1}{3}

Done

Decimal Form: 0.333333

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