👤

2. Rezolvafi ecuatia 3(2x+1) /7-2x+10/6= 2x - 2/7- 5(2x + 2)/28 ​

Răspuns :

Răspuns:

Explicație pas cu pas:

[tex] \frac{3(2x + 1)}{7} - \frac{2x + 10}{6} = \frac{2x - 2}{7} - \frac{5(2x + 2)}{28} \\ [/tex]

[tex] \frac{6x + 3}{7} - \frac{2x + 10}{6} = \frac{2x - 2}{7} - \frac{10x + 10}{28} \: | \times 84 \: \\ [/tex]

[tex]12(6x + 3) - 14(2x + 10) = 12(2x - 2) - 3(10x + 10) \\ [/tex]

[tex]72x + 36 - 28x - 140 = 24x - 24 - 30x - 30 \\ [/tex]

[tex]44x - 104 = - 6x - 54[/tex]

[tex]44x + 6x = - 54 + 104[/tex]

[tex]50x = 50 \: \rightarrow \: \boxed{x = 50 \div 5 0 = 1}[/tex]