3x + 17 + 5x = 7x + 10

- 7

Step-by-step explanation:

3x + 17 + 5x = 7x + 10

or, 3x + 5x - 7x = 10 - 17 ( take all the variables in one side and all the constants in another side)

or, 8x - 7x = -7

or, x = -7

you can check the answer by putting x = -7 into the equation. after putting the value of x if the Right hand side and left hand side of the equation become same, then your answer is correct.

if not, you need to check the steps again.

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

answer: the four apples you took away.

step-by-step explanation: