Tìm x, biết $\frac{3}{2x+1}$ + $\frac{10}{4x+2}$ – $\frac{6}{6x+3}$ = $\frac{12}{26}$

Tìm x, biết
$\frac{3}{2x+1}$ + $\frac{10}{4x+2}$ – $\frac{6}{6x+3}$ = $\frac{12}{26}$

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  1. $\frac{3}{2x+1}$ +$\frac{10}{4x+2}$ -$\frac{6}{6x+3}$ =$\frac{12}{26}$ 

    =>$\frac{3}{2x+1}$ +$\frac{5.2}{2(2x+1)}$ -$\frac{3.2}{3(2x+1)}$ =$\frac{12}{26}$

    =>$\frac{3}{2x+1}$ +$\frac{5}{2x+1}$ -$\frac{2}{2x+1}$ =$\frac{12}{26}$ 

    =>$\frac{6}{2x+1}$ =$\frac{12}{26}$ 

    =>$6.26$=$(2x+1).12$

    =>$156$=$(2x+1).12$

    =>$(2x+1).12$=$156$

    =>$2x+1$=$13$

    =>$2x$=$13-1$

    =>$2x$=$12$

    =>$x$=$6$

     

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  2. `\frac{3}{2x+1}+\frac{10}{4x+2}-\frac{6}{6x+3}=12/26`

    `⇔\frac{3}{2x+1}+\frac{10}{2(2x+1)}-\frac{6}{3(2x+1)}=6/13`

    `⇔\frac{3}{2x+1}+\frac{5}{2x+1}-\frac{2}{2x+1}=6/13`

    `⇔\frac{3+5-2}{2x+1}=6/13`

    `⇔\frac{6}{2x+1}=6/13`

    `⇒2x+1=13`

    `⇔2x=12`

    `⇔x=6`

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