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2/5x+13=4/5x-9
We move all terms to the left:
2/5x+13-(4/5x-9)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 5x-9)!=0We get rid of parentheses
x∈R
2/5x-4/5x+9+13=0
We multiply all the terms by the denominator
9*5x+13*5x+2-4=0
We add all the numbers together, and all the variables
9*5x+13*5x-2=0
Wy multiply elements
45x+65x-2=0
We add all the numbers together, and all the variables
110x-2=0
We move all terms containing x to the left, all other terms to the right
110x=2
x=2/110
x=1/55
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