Answer:
x = [tex]\frac{83}{36}[/tex]
Step-by-step explanation:
Given
x - 2 [tex]\frac{1}{4}[/tex] = [tex]\frac{1}{18}[/tex] ( change mixed number to improper fraction )
x - [tex]\frac{9}{4}[/tex] = [tex]\frac{1}{18}[/tex]
Multiply through by 36 ( the LCM of 4 and 18 ) to clear the fractions
36x - 81 = 2 ( add 81 to both sides )
36x = 83 ( divide both sides by 36 )
x = [tex]\frac{83}{36}[/tex]