\[4x-7=9\]

1
Add 77 to both sides.
4x=9+74x=9+7

2
Simplify  9+79+7  to  1616.
4x=164x=16

3
Divide both sides by 44.
x=164x=\frac{16}{4}

4
Simplify  164\frac{16}{4}  to  44.
x=4x=4

Done

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