\[-2x+(8+x)<9\]

1
Remove parentheses.
2x+8+x<9-2x+8+x<9

2
Simplify  2x+8+x-2x+8+x  to  x+8-x+8.
x+8<9-x+8<9

3
Regroup terms.
8x<98-x<9

4
Subtract 88 from both sides.
x<98-x<9-8

5
Simplify  989-8  to  11.
x<1-x<1

6
Multiply both sides by 1-1.
x>1x>-1

Done

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