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1/5x-4=-4/5x-6
We move all terms to the left:
1/5x-4-(-4/5x-6)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 5x-6)!=0We get rid of parentheses
x∈R
1/5x+4/5x+6-4=0
We multiply all the terms by the denominator
6*5x-4*5x+1+4=0
We add all the numbers together, and all the variables
6*5x-4*5x+5=0
Wy multiply elements
30x-20x+5=0
We add all the numbers together, and all the variables
10x+5=0
We move all terms containing x to the left, all other terms to the right
10x=-5
x=-5/10
x=-1/2
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