5/2x-2=1/2x-1

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Solution for 5/2x-2=1/2x-1 equation:



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

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