I included a picture of what I need help on.

x = 4

Step-by-step explanation:

In similar triangles, the ratios of the length of the corresponding sides are equal.

Cross multiply,

48*(2x + 7) = 40*(5x - 2) {use distributive property: a*(b+c)=(a*b)+ (a*c)}

48*2x  + 48*7 = 40*5x - 40*2

  96x  + 336   = 200x - 80       {Subtract 96x from both sides}

             336   = 200x - 96x - 80

               336 =  104x - 80 {Add 80 to both sides}

      336 + 80 = 104x

               416 = 104x      {divide both sides by 104}

        416/104 = x

x = 4

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation: