3/(8x+1)+8/(2x+5)=1

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Solution for 3/(8x+1)+8/(2x+5)=1 equation:



3/(8x+1)+8/(2x+5)=1
We move all terms to the left:
3/(8x+1)+8/(2x+5)-(1)=0
Domain of the equation: (8x+1)!=0
We move all terms containing x to the left, all other terms to the right
8x!=-1
x!=-1/8
x!=-1/8
x∈R
Domain of the equation: (2x+5)!=0
We move all terms containing x to the left, all other terms to the right
2x!=-5
x!=-5/2
x!=-2+1/2
x∈R
We calculate fractions
(6x+15)/((8x+1)*(2x+5))+(64x+8)/((8x+1)*(2x+5))-1=0
We calculate terms in parentheses: +(6x+15)/((8x+1)*(2x+5)), so:
6x+15)/((8x+1)*(2x+5)
We multiply all the terms by the denominator
6x*((8x+1)*(2x+5)+15)
Back to the equation:
+(6x*((8x+1)*(2x+5)+15))
We calculate terms in parentheses: +(64x+8)/((8x+1)*(2x+5)), so:
64x+8)/((8x+1)*(2x+5)
We multiply all the terms by the denominator
64x*((8x+1)*(2x+5)+8)
Back to the equation:
+(64x*((8x+1)*(2x+5)+8))
We calculate terms in parentheses: +(6x*((8x+1)*(2x+5)+15)), so:
6x*((8x+1)*(2x+5)+15)
We calculate terms in parentheses: +(64x*((8x+1)*(2x+5)+8)), so:
64x*((8x+1)*(2x+5)+8)
We calculate terms in parentheses: +(6x*((8x+1)*(2x+5)+15)), so:
6x*((8x+1)*(2x+5)+15)
We calculate terms in parentheses: +(64x*((8x+1)*(2x+5)+8)), so:
64x*((8x+1)*(2x+5)+8)
We calculate terms in parentheses: +(6x*((8x+1)*(2x+5)+15)), so:
6x*((8x+1)*(2x+5)+15)
We calculate terms in parentheses: +(64x*((8x+1)*(2x+5)+8)), so:
64x*((8x+1)*(2x+5)+8)
We calculate terms in parentheses: +(6x*((8x+1)*(2x+5)+15)), so:
6x*((8x+1)*(2x+5)+15)
We calculate terms in parentheses: +(64x*((8x+1)*(2x+5)+8)), so:
64x*((8x+1)*(2x+5)+8)
We calculate terms in parentheses: +(6x*((8x+1)*(2x+5)+15)), so:
6x*((8x+1)*(2x+5)+15)
We calculate terms in parentheses: +(64x*((8x+1)*(2x+5)+8)), so:
64x*((8x+1)*(2x+5)+8)
We calculate terms in parentheses: +(6x*((8x+1)*(2x+5)+15)), so:
6x*((8x+1)*(2x+5)+15)
We calculate terms in parentheses: +(64x*((8x+1)*(2x+5)+8)), so:
64x*((8x+1)*(2x+5)+8)
We calculate terms in parentheses: +(6x*((8x+1)*(2x+5)+15)), so:
6x*((8x+1)*(2x+5)+15)
We calculate terms in parentheses: +(64x*((8x+1)*(2x+5)+8)), so:
64x*((8x+1)*(2x+5)+8)
We calculate terms in parentheses: +(6x*((8x+1)*(2x+5)+15)), so:
6x*((8x+1)*(2x+5)+15)
We calculate terms in parentheses: +(64x*((8x+1)*(2x+5)+8)), so:
64x*((8x+1)*(2x+5)+8)
We calculate terms in parentheses: +(6x*((8x+1)*(2x+5)+15)), so:
6x*((8x+1)*(2x+5)+15)
We calculate terms in parentheses: +(64x*((8x+1)*(2x+5)+8)), so:
64x*((8x+1)*(2x+5)+8)
We calculate terms in parentheses: +(6x*((8x+1)*(2x+5)+15)), so:
6x*((8x+1)*(2x+5)+15)
We calculate terms in parentheses: +(64x*((8x+1)*(2x+5)+8)), so:
64x*((8x+1)*(2x+5)+8)
We calculate terms in parentheses: +(6x*((8x+1)*(2x+5)+15)), so:
6x*((8x+1)*(2x+5)+15)
We calculate terms in parentheses: +(64x*((8x+1)*(2x+5)+8)), so:
64x*((8x+1)*(2x+5)+8)
We calculate terms in parentheses: +(6x*((8x+1)*(2x+5)+15)), so:
6x*((8x+1)*(2x+5)+15)
We calculate terms in parentheses: +(64x*((8x+1)*(2x+5)+8)), so:
64x*((8x+1)*(2x+5)+8)
We calculate terms in parentheses: +(6x*((8x+1)*(2x+5)+15)), so:
6x*((8x+1)*(2x+5)+15)
We calculate terms in parentheses: +(64x*((8x+1)*(2x+5)+8)), so:
64x*((8x+1)*(2x+5)+8)
We calculate terms in parentheses: +(6x*((8x+1)*(2x+5)+15)), so:
6x*((8x+1)*(2x+5)+15)
We calculate terms in parentheses: +(64x*((8x+1)*(2x+5)+8)), so:
64x*((8x+1)*(2x+5)+8)
We calculate terms in parentheses: +(6x*((8x+1)*(2x+5)+15)), so:
6x*((8x+1)*(2x+5)+15)
We calculate terms in parentheses: +(64x*((8x+1)*(2x+5)+8)), so:
64x*((8x+1)*(2x+5)+8)
We calculate terms in parentheses: +(6x*((8x+1)*(2x+5)+15)), so:
6x*((8x+1)*(2x+5)+15)
We calculate terms in parentheses: +(64x*((8x+1)*(2x+5)+8)), so:
64x*((8x+1)*(2x+5)+8)
We calculate terms in parentheses: +(6x*((8x+1)*(2x+5)+15)), so:
6x*((8x+1)*(2x+5)+15)
We calculate terms in parentheses: +(64x*((8x+1)*(2x+5)+8)), so:
64x*((8x+1)*(2x+5)+8)
We calculate terms in parentheses: +(6x*((8x+1)*(2x+5)+15)), so:
6x*((8x+1)*(2x+5)+15)
We calculate terms in parenthe

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