Question

Cum pot rezolva exercitul 5 , nu stiu cum sa fac !

Answer 1

2/(x+2) = 4(x+3)
2(x+3) = 4(x+2)
2x+6 = 4x+8
2x = - 2
x = - 1 

(x+2)/3 = 4x/2
2(x+2) = 12x
2x+4 = 12x
10x = 4
x = 4/10

Answer 2

$\displaystyle \mathtt{a) \frac{2}{x+2}= \frac{4}{x+3}\Rightarrow 2(x+3)=(x+2) \cdot 4 \Rightarrow 2x+6=4x+8 \Rightarrow }\\ \\ \mathtt{\Rightarrow 2x-4x=8-6 \Rightarrow -2x=2 \Rightarrow x=- \frac{2}{2}\Rightarrow x=-1 }\\ \\ \mathtt{b) \frac{x+2}{3}= \frac{4x}{2}\Rightarrow (x+2) \cdot 2=3 \cdot 4x \Rightarrow 2x+4=12x \Rightarrow 2x-12x=-4}\\ \\ \mathtt{\Rightarrow -10x=-4 \Rightarrow x= \frac{4}{10}\Rightarrow x= \frac{2}{5} }$