\[9x-3=9\]
1
Add 33 to both sides.
9x=9+39x=9+3

2
Simplify  9+39+3  to  1212.
9x=129x=12

3
Divide both sides by 99.
x=129x=\frac{12}{9}

4
Simplify  129\frac{12}{9}  to  43\frac{4}{3}.
x=43x=\frac{4}{3}

Done

Decimal Form: 1.333333

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