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5/8x-5=3/8x+5
We move all terms to the left:
5/8x-5-(3/8x+5)=0
Domain of the equation: 8x!=0
x!=0/8
x!=0
x∈R
Domain of the equation: 8x+5)!=0We get rid of parentheses
x∈R
5/8x-3/8x-5-5=0
We multiply all the terms by the denominator
-5*8x-5*8x+5-3=0
We add all the numbers together, and all the variables
-5*8x-5*8x+2=0
Wy multiply elements
-40x-40x+2=0
We add all the numbers together, and all the variables
-80x+2=0
We move all terms containing x to the left, all other terms to the right
-80x=-2
x=-2/-80
x=1/40
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