Answer:
Eleanor has made an error in Step 1
She clearly intended to multiply both sides by 2, but forgot to multiply the [tex]-9x[/tex] part of the RHS.
Step 1 should be: [tex]x+18=8(2x-6)-18x[/tex]
Correct solution
Given: [tex]\dfrac12(x+18)=4(2x-6)-9x[/tex]
Step 1: [tex]x+18=8(2x-6)-18x[/tex]
Step 2: [tex]x+18=16x-48-18x[/tex]
Step 3: [tex]x+18=-48-2x[/tex]
Step 4: [tex]66=-3x[/tex]
Step 5: [tex]x=-22[/tex]
