Answer:
x = 1
Step-by-step explanation:
The proportion in this question is (3z) : (3z)+(z+22) = (2x+1) : (8x-2), since there are two triangles that are similar.
The question said that 3z = z+22
--> 2z = 22
--> z = 11
So our new proportion will be:
--> (3z) : (3z)+(z+22) = (2x+1) : (8x-2)
--> (33):(66) = (2x+1):(8x-2)
--> (66)(2x+1) = (33)(8x-2)
--> 132x + 66 = 264x - 66
--> 132x - 132 = 0
--> 132x = 132
--> x = 1
