Find the value of x in the following equation-4x-2-5-7-5 x-13A- 12B- 13C- 14D- 10

The correct option is B 13 ⇒4(x+2)/5 = 7 + 5x/13 ⇒4(x+2)/5 = 91 + 5x/13 ⇒ 52(x + 2) = 5(91 + 5x) ⇒ 52x + 104 = 455 + 25x ⇒ 27x = 351 ⇒ x=351/27 ⇒ x = 13 ...

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Standard VIII

Mathematics

Linear equation in one variable

Find the valu...

Question

Find the value of x in the following equation:

$\frac{4 (x + 2)}{5} = 7 + \frac{5 x}{13}$

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Solution

The correct option is C
13

$\Rightarrow \frac{4 (x + 2)}{5} = 7 + \frac{5 x}{13}$

$\Rightarrow \frac{4 (x + 2)}{5} = \frac{91 + 5 x}{13}$

$\Rightarrow 52 (x + 2) = 5 (91 + 5 x)$

$\Rightarrow 52 x + 104 = 455 + 25 x$

$\Rightarrow 27 x = 351$

$\Rightarrow x = \frac{351}{27}$

$\Rightarrow x = 13$

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Find the value of x in the following equation: 4(x+2)5=7+5x13

The correct option is C 13 ⇒4(x+2)5=7+5x13 ⇒4(x+2)5=91+5x13 ⇒52(x+2)=5(91+5x) ⇒52x+104=455+25x ⇒27x=351 ⇒x=35127 ⇒x=13

Find the value of x in the following equation:

$\frac{4 (x + 2)}{5} = 7 + \frac{5 x}{13}$