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5x^-1/2=6x-8
We move all terms to the left:
5x^-1/2-(6x-8)=0
We add all the numbers together, and all the variables
5x-(6x-8)-1/2=0
We get rid of parentheses
5x-6x+8-1/2=0
We multiply all the terms by the denominator
5x*2-6x*2-1+8*2=0
We add all the numbers together, and all the variables
5x*2-6x*2+15=0
Wy multiply elements
10x-12x+15=0
We add all the numbers together, and all the variables
-2x+15=0
We move all terms containing x to the left, all other terms to the right
-2x=-15
x=-15/-2
x=7+1/2
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