3x+4/5=5(x-8)/8

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Solution for 3x+4/5=5(x-8)/8 equation:



3x+4/5=5(x-8)/8
We move all terms to the left:
3x+4/5-(5(x-8)/8)=0
We calculate fractions
3x+(-(5(x-8)*5)/()+()/()=0
We calculate terms in parentheses: +(-(5(x-8)*5)/()+()/(), so:
-(5(x-8)*5)/()+()/(
We add all the numbers together, and all the variables
-(5(x-8)*5)/()+1
We multiply all the terms by the denominator
-(5(x-8)*5)+1*()
We calculate terms in parentheses: -(5(x-8)*5), so:
5(x-8)*5
We multiply parentheses
25x-200
Back to the equation:
-(25x-200)
We add all the numbers together, and all the variables
-(25x-200)
We get rid of parentheses
-25x+200
Back to the equation:
+(-25x+200)
We get rid of parentheses
3x-25x+200=0
We add all the numbers together, and all the variables
-22x+200=0
We move all terms containing x to the left, all other terms to the right
-22x=-200
x=-200/-22
x=9+1/11

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