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(5x-6)^0.5+(5x-6)^-0.5=10/3
We move all terms to the left:
(5x-6)^0.5+(5x-6)^-0.5-(10/3)=0
We add all the numbers together, and all the variables
(5x-6)^0.5+(5x-6)^-0.5-(+10/3)=0
We get rid of parentheses
(5x-6)^0.5+(5x-6)^-0.5-10/3=0
We multiply all the terms by the denominator
((5x-6)^0.5)*3+((5x-6)^)*3-10-(0.5)*3=0
We add all the numbers together, and all the variables
((5x-6)^0.5)*3+((5x-6)^)*3-11.5=0
We move all terms containing x to the left, all other terms to the right
((5x-6)^0.5)*3+((5x-6)^)*3=11.5
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