Question 872423
2x+6 is the hypotenuse c
x is one leg a
2x+4 is the other leg b
a^2+b^2=c^2

(2x+4)^2+x^2=(2x+6)^2
multiply it out and you get
5 x^2+16 x+16 = 4 x^2+24 x+36
combine terms and you get
x^2-8x-20 = 0
you want factors of -20 which add up to -8
-10 and 2 will do it
(x-10)*(x+2)=0
x=10 and x=-2
discard the negative result.
x=10