Solve: $(3 x + 4) (2 x - 5) = (6 x - 17) (x + 10)$ .

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Solution

The correct option is A $3$
Given,
$(3 x + 4) (2 x - 5) = (6 x - 17) (x + 10)$
$⟹$ $6 x^{2} + 8 x - 15 x - 20 = 6 x^{2} - 17 x + 60 x - 170$ .....[By Distribution Law]
$⟹$ $- 7 x - 20 = 43 x - 170$ ....[Simplifying].

Transposing $x$ term to one side, we get,
$⟹$ $170 - 20 = 43 x + 7 x$
$⟹$ $150 = 50 x$
$⟹$ $x = \frac{150}{50} = 3$ .

Hence, option $A$ is correct.

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