Question

Solve the following for x :

1/2a+b+2x = 1/2a+1/b+1/2x

Answer 1

here is ur answer!!

hope u understand

Answer 2

Answer:

$Value \: of \: x=-a \:Or \:x=\frac{-b}{2}$

Step-by-step explanation:

$\frac{1}{2a+b+2x}=\frac{1}{2a}+\frac{1}{b}+\frac{1}{2x}$

$\implies \frac{1}{2a+b+2x}-\frac{1}{2x}=\frac{1}{2a}+\frac{1}{b}$

$\implies {2x-(2a+b+2x)}{(2a+b+2x)2x}=\frac{b+2a}{2ab}$

$\implies \frac{2x-2a-b-2x}{2x(2a+b+2x)}=\frac{(2a+b)}{2ab}$

$\implies \frac{-2a-b}{2x(2a+b+2x)}=\frac{(2a+b)}{2ab}$

$\implies \frac{-\not {(2a+b)}}{\not 2 x(2a+b+2x)}=\frac{\not {(2a+b)}}{\not 2 ab}$

$\implies \frac{-1}{x(2a+b+2x)}=\frac{1}{ab}$

$\implies -ab = x(2a+b)+2x^{2}$

$\implies 0 = 2x^{2}+2ax+bx+ab$

$\implies 2x(x+a)+b(x+a)=0$

$\implies (x+a)(2x+b)=0$

$\implies (x+a)=0 \:Or \:2x+b=0$

$\implies x=-a \:Or \:2x=-b$

$\implies x=-a \:Or \:x=\frac{-b}{2}$

Therefore,

$Value \: of \: x=-a \:Or \:x=\frac{-b}{2}$

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