Let's solve your equation step-by-step.
x+4/x = 45
Step 1: Multiply both sides by x.
x + 4 - 45x = 45x - 45x (subtract 45x from both sides)
-44x + 4 = 0
-44x + 4 - 4 = 0 - 4 (subtract from both sides)
-44x = -4
-44x/-44 = -4/-44 (divide both sides by -44)
x = 1/11
Check the answer and make sure it works x = 1/11 (works in original equation).
Final Answer x = 1/11
NOTE!!!
Forward Slash is meant as a fraction divider in this instance