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1/5x-6=-4/5x+3
We move all terms to the left:
1/5x-6-(-4/5x+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
1/5x+4/5x-3-6=0
We multiply all the terms by the denominator
-3*5x-6*5x+1+4=0
We add all the numbers together, and all the variables
-3*5x-6*5x+5=0
Wy multiply elements
-15x-30x+5=0
We add all the numbers together, and all the variables
-45x+5=0
We move all terms containing x to the left, all other terms to the right
-45x=-5
x=-5/-45
x=1/9
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