The value of 'x' for which the expressions $5 x + 4$ and $3 x + 2$ become equal is:

2

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- 1

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Solution

The correct option is C $- 1$
$5 x + 4$ ....(1)
$3 x + 2$ ....(2)
Equating expressions $(1)$ and $(2)$ , we get,
$5 x + 4 = 3 x + 2$
$\Rightarrow 5 x - 3 x = 2 - 4$
$\Rightarrow 2 x = - 2$
$\Rightarrow x = - 1$
Consider equation $(1)$ and $(2)$ , put $x = - 1$ ,
$5 x + 4 = 5 (- 1) + 4 = - 1 . . . . (3)$
$3 x + 2 = 3 (- 1) + 2 = - 1 . . . . (4)$
Equation $(3)$ and $(4)$ are equal.
$Hence, for x = -1 the expressions 5x + 4 and 3x + 2 becomes equal.$

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