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This is a homework puzzle so I'm not asking for the direct answer.

Find all numbers $x$ in $\Bbb R$ for:

$$[x+2] = 6[x] - 23$$

I haven't see greatest integer functions that have a scalar out the front nor two GIF in one function. Could someone please help me understand how to solve this? :)

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    Sketch a graph? Or note that each side of the equation will always be an integer, so solve for $x$ an integer, and then consider the range of solutions around that.2012-03-15

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