[tex]\frac{x+7}{3} =\frac{x+4}{2}\\\\Produsul~mezilor~este~egal~cu~produsul~extremilor. Inmultesc~ pe~diagonala.\\\\2*(x+7)=3*(x+4)\\2*x+2*7=3*x+3*4\\2x+14=3x+12\\14-12=3x-2x\\2=x\\x=2\\\\Sau\\\\Aduc~la~acelasi~numitor=>~inmultesc~prima~fractie~cu~2~si~pe~a~doua~cu~3.\\\\Numitorul~comun~e~6.\\\\\frac{2*(x+7)}{6}=\frac{3*(x+4)}{6}\\\\Elimin~numitorul~ca~e~acelasi.\\\\2*x+2*7=3*x+3*4\\\\2x+14=3x+12\\14-12=3x-2x\\2=x\\x=2\\[/tex]
simplifica ecuatia folosind înmulțirea pe diagonala:
2(x+7)=3(x+4)
distribuie 2 elementelor din prima paranteza si 3 din a 2a paranteza:
2x+14=3x+12
Muta variabila in partea stanga si schimba semnul:
2x-3x=12-14
-x=-2
schimba semnele:
x=2
