(3 x 10) x 8 = x(10 x 8)

Here you go

Step-by-step explanation:

(3 x 10) x 8 = x(10 x 8)

What you do the distributive property so multiply 3x10 and you get 30 and multiply by 8 you get 240 so one side is solved. Now multiply 10x8 you get 80 and remember to multiply the variable x so you get 80x=240 now divide 80 both sides and you will get 3 as your total answer

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4