Joe concluded that the expression 3x + 15 + 2x is equivalent to the expression 5(x + 3). Which of these best explains how Joe reached his conclusion?

combining like terms and dividing each term by 5

Step-by-step explanation:

3x + 15 + 2x      Given

5x +15               Combine Like Terms

5x = 5 x             Find the LCM

15 = 5 3              LCM is 5

5(x + 3)               Pull the 5 out of both and put the remaining factors in parentheses

hope this helps <3

hows it hangin lol

step-by-step explanation:

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