If $2 x, x + 10, 3 x + 2$ are in A.P, then $x$ = ___

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Solution

Given that $2 x, x + 10, 3 x + 2$ are in A.P.

$\Rightarrow x + 10 - 2 x = 3 x + 2 - x - 10$

$\Rightarrow - x + 10 = 2 x - 8$

$\Rightarrow 3 x = 18$

$∴ x = 6$ .

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