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3/5x+7=13/5x-3
We move all terms to the left:
3/5x+7-(13/5x-3)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 5x-3)!=0We get rid of parentheses
x∈R
3/5x-13/5x+3+7=0
We multiply all the terms by the denominator
3*5x+7*5x+3-13=0
We add all the numbers together, and all the variables
3*5x+7*5x-10=0
Wy multiply elements
15x+35x-10=0
We add all the numbers together, and all the variables
50x-10=0
We move all terms containing x to the left, all other terms to the right
50x=10
x=10/50
x=1/5
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