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2x-3/5x-1=2x+1/5x+10
We move all terms to the left:
2x-3/5x-1-(2x+1/5x+10)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 5x+10)!=0We get rid of parentheses
x∈R
2x-3/5x-2x-1/5x-10-1=0
We multiply all the terms by the denominator
2x*5x-2x*5x-10*5x-1*5x-3-1=0
We add all the numbers together, and all the variables
2x*5x-2x*5x-10*5x-1*5x-4=0
Wy multiply elements
10x^2-10x^2-50x-5x-4=0
We add all the numbers together, and all the variables
-55x-4=0
We move all terms containing x to the left, all other terms to the right
-55x=4
x=4/-55
x=-4/55
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