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5/2x+30=9/2x+10
We move all terms to the left:
5/2x+30-(9/2x+10)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x+10)!=0We get rid of parentheses
x∈R
5/2x-9/2x-10+30=0
We multiply all the terms by the denominator
-10*2x+30*2x+5-9=0
We add all the numbers together, and all the variables
-10*2x+30*2x-4=0
Wy multiply elements
-20x+60x-4=0
We add all the numbers together, and all the variables
40x-4=0
We move all terms containing x to the left, all other terms to the right
40x=4
x=4/40
x=1/10
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