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-4/5x-8=1/5x+10
We move all terms to the left:
-4/5x-8-(1/5x+10)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 5x+10)!=0We get rid of parentheses
x∈R
-4/5x-1/5x-10-8=0
We multiply all the terms by the denominator
-10*5x-8*5x-4-1=0
We add all the numbers together, and all the variables
-10*5x-8*5x-5=0
Wy multiply elements
-50x-40x-5=0
We add all the numbers together, and all the variables
-90x-5=0
We move all terms containing x to the left, all other terms to the right
-90x=5
x=5/-90
x=-1/18
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