Question

2x+1 x-7
------- -- ----- = x
3 6


Cum rezolv ?

Answer 1

2 · ( 2x +1 )  - ( x -7 ) = 6·x 
4x + 2 - x + 7 = 6·x
3·x + 9 = 6·x 
9 = 6·x - 3·x 
3·x = 9 
x = 9 : 3 = 3 

Answer 2

   
[tex]\displaystyle \frac{2x+1}{3}- \frac{x-7}{6}=x~~~~~~~(Aducem~ la ~acelasi~ numitor) \\ \\ \frac{(2x+1)\cdot 2}{3\cdot2}- \frac{x-7}{6}= \frac{ x\cdot 6}{6} \\ \\ \frac{2(2x+1)}{6}- \frac{x-7}{6}= \frac{ 6x}{6} ~~~~~|\times 6 \\ \\ 2(2x+1)-(x-7)=6x \\ 4x+2-x+7=6x \\ 6x-4x+x = 2+7 \\ 3x=9 \\ \\ x= \frac{9}{3} = \boxed{3}[/tex]