8x-2=5x-53,
8x-5x=2-53,
3x=-51,
x=-17. The solution set is {-17}. There is only one solution.
The solution set for 8x-2<5x-53 is x<-17 or {All x∈(-∞,-17)}.
The solution set for 8x-2≤5x-53 is x≤-17 or {All x∈(-∞,-17]}.
The solution set for 8x-2>5x-53 is x>-17 or {All x∈(-17,∞)}.
The solution set for 8x-2≥5x-53 is x≥-17 or {All x∈[-17,∞)}.