Solve for x: 2 over 5 plus 3 over 5 x equals quantity x plus 5 over 10

X=3

X=2

X=-3 and 2

No solution

(2/5) + (3 / (5x)) = (x+5) / 10

nasty fractions, we hates it forever

so

get rid of all those nasty fractions

multiply both sides by 10x

4x+6=x (x+5)

distribute

4x+6=x^2+5x

minus (4x+6) from both sides

0=x^2+x-6

factor

0 = (x-2) (x+3)

set each to zero

0=x-2

2=x

0=x+3

-3=x

x=-3 and 2

3rd option is answer