The sum of three times a number and 14 equals the difference of twenty and two times the number.

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

maya’s expression will generate the wrong sum because she violated the commutative property.

step-by-step explanation:

you have to find the same variables -3n - 5n so this would be -3n +(-5n) which equals -9n