-3(2w+5)+7w=5(w-11) what is w?

53 = w        OR    10.6=w

 5

Step-by-step explanation:

-3(2w+5)+7w=5(w-11)

-6w-15+7w=5w-55

+6w    +6w

     -15+13=5w-55

     +15            +15

            13=5w-40

            +40    +40

            53=5w

             5     5

            53 = w        OR    10.6=w

              5

Hope that helps

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