[tex]\dfrac{x+2}{2}=\dfrac{4}{5}\ \ \ \ \ |\text{cross multiply}\\\\5(x+2)=(4)(2)\ \ \ \ \ |\text{use distributive property}\\\\(5)(x)+(5)(2)=8\\\\5x+10=8\ \ \ \ |\text{subtract 10 from both sides}\\\\5x=-2\ \ \ \ \ |\text{divide both sides by 5}\\\\\boxed{x=-\dfrac{2}{5}}[/tex]
