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4/5x-2=1/5x+7
We move all terms to the left:
4/5x-2-(1/5x+7)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 5x+7)!=0We get rid of parentheses
x∈R
4/5x-1/5x-7-2=0
We multiply all the terms by the denominator
-7*5x-2*5x+4-1=0
We add all the numbers together, and all the variables
-7*5x-2*5x+3=0
Wy multiply elements
-35x-10x+3=0
We add all the numbers together, and all the variables
-45x+3=0
We move all terms containing x to the left, all other terms to the right
-45x=-3
x=-3/-45
x=1/15
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