Given, 4(x+2)5=7+5x13 ⇒4x+85=7+5x13 ⇒ 13(4x+8)=5(7+5x) ⇒ 52x+104=35+25x ⇒ 52x 25x=35 104 ⇒ 27x= 69 ⇒ x= 6927= 239 ...

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Addition and Subtraction of Algebraic Expression

Solve: 4x+2...

Question

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

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Solution

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

$\Rightarrow \frac{4 x + 8}{5} = \frac{7 + 5 x}{13}$

$\Rightarrow 13 (4 x + 8) = 5 (7 + 5 x)$

$\Rightarrow 52 x + 104 = 35 + 25 x$

$\Rightarrow 52 x - 25 x = 35 - 104$

$\Rightarrow 27 x = - 69$

$\Rightarrow x = \frac{- 69}{27} = \frac{- 23}{9}$

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