Question

two angles are complements of each other the first angle has a measure of 17x+14 and other angle has a measure of 11x-8 solve for x

Answer 1

Complementary angles means the sum of the two angles = 90 degrees
SO: (First Angle) + (Second Angle) = 90
First Angle = 17x + 14
Second Angle = 11x - 8
Plug and chug you get:
17x + 14 + 11x - 8 = 90 degrees
Solve for X

Answer 2

so its
17x+11x=90-14+8

Answer 3

Yup... take it a bit further and you get
28x = 84
then solving for x you get

x = 3