Given $5 (x + 4) - 8 (4 - x) = 25 - 3 (7 - x) + 144$ , then the value of x is

8

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16

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4

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11

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Solution

The correct option is C $16$
$5 (x + 4) - 8 (4 - x) = 25 - 3 (7 - x) + 144$
$\Rightarrow 5 x + 20 - 32 + 8 x = 25 - 21 + 3 x + 144$
$\Rightarrow 13 x - 12 = 3 x + 148$
$\Rightarrow 13 x - 3 x = 148 + 12$
$\Rightarrow 10 x = 160$
$\Rightarrow x = \frac{160}{10} = 16$

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\begin{matrix} S . N O & E q u a t i o n & V a l u e & S a y, w h e t h e r t h e e q u a t i o n i s s a t i s f i e d . (y e s / N o) (i) & x + 3 = 0 & x = 3 (i i) & x + 3 = 0 & x = 0 (i i i) & x + 3 = 0 & x = - 3 (i v) & x - 7 = 1 & x = 7 (v) & x - 7 = 1 & x = 8 (v i) & 5 x = 25 & x = 0 (v i i) & 5 x = 25 & x = 5 (v i i i) & 5 x = 25 & x = - 5 \end{matrix}

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