Question

2/5n+1/10=1/2(n+4) is this no solution?

Answer 1

`(2)/(5)n+(1)/(10)=(1)/(2)(n+4)\ \ \ |\cdot10\\\\10\cdot(2)/(5)n+10\cdot(1)/(10)=10\cdot(1)/(2)(n+4)\\\\2\cdot2n+1=5(n+4)\ \ \ \ |\text{use distributive property}\\\\4n+1=(5)(n)+(5)(4)\\\\4n+1=5n+20\ \ \ |-1\\\\4n=5n+19\ \ \ \ |-5n\\\\-n=19\ \ \ |\cdot(-1)\\\\\boxed{n=-19}`