\[6x-9=5x+4\]

1
Add 99 to both sides.
6x=5x+4+96x=5x+4+9

2
Simplify  5x+4+95x+4+9  to  5x+135x+13.
6x=5x+136x=5x+13

3
Subtract 5x5x from both sides.
6x5x=136x-5x=13

4
Simplify  6x5x6x-5x  to  xx.
x=13x=13

Done

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