Answer
{$\dfrac{4}{3},5$}
Work Step by Step
Given: $4x-9=2x+1$
or, $4x-2x=1+9$
or, $2x=10 \implies x=5$
Now, $4x-9=-(2x+1)$
or, $4x+2x=-1+9$
or, $6x=8 \implies x=\dfrac{8}{6}=\dfrac{4}{3}$
Hence, {$\dfrac{4}{3},5$}
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