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9/5x+4-6/10x=6/5x+4
We move all terms to the left:
9/5x+4-6/10x-(6/5x+4)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 10x!=0
x!=0/10
x!=0
x∈R
Domain of the equation: 5x+4)!=0We get rid of parentheses
x∈R
9/5x-6/10x-6/5x-4+4=0
We calculate fractions
(-60x+9)/50x^2+(-30x)/50x^2-4+4=0
We add all the numbers together, and all the variables
(-60x+9)/50x^2+(-30x)/50x^2=0
We multiply all the terms by the denominator
(-60x+9)+(-30x)=0
We get rid of parentheses
-60x-30x+9=0
We add all the numbers together, and all the variables
-90x+9=0
We move all terms containing x to the left, all other terms to the right
-90x=-9
x=-9/-90
x=1/10
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