What must be added to $2 x - 4 x + 9$ to get $5 x - 13$

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Solution

Let $f$ should be added to $2 x - 4 x + 9$ to get $5 x - 13$ .
Therefore,
$(2 x - 4 x + 9) + f = 5 x - 13$
$\Rightarrow f = 5 x - 13 - (- 2 x + 9)$
$\Rightarrow f = 5 x - 13 + 2 x - 9$
$\Rightarrow f = 7 x - 22$
Hence $(7 x - 22)$ should be added to $(2 x - 4 x + 9)$ to get $(5 x - 13)$ .

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