\[10x-9=9\]
1
Add 99 to both sides.
10x=9+910x=9+9

2
Simplify  9+99+9  to  1818.
10x=1810x=18

3
Divide both sides by 1010.
x=1810x=\frac{18}{10}

4
Simplify  1810\frac{18}{10}  to  95\frac{9}{5}.
x=95x=\frac{9}{5}

Done

Decimal Form: 1.8

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