(4)/(5 ) = (x + 2)/(2)

Question

`(4)/(5 ) = (x + 2)/(2)`

Answer 1

`(x+2)/(2)=(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=-(2)/(5)}`