1/5x+3/5=2x-9(2-x)-3

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Solution for 1/5x+3/5=2x-9(2-x)-3 equation:



1/5x+3/5=2x-9(2-x)-3
We move all terms to the left:
1/5x+3/5-(2x-9(2-x)-3)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
We add all the numbers together, and all the variables
1/5x-(2x-9(-1x+2)-3)+3/5=0
We calculate fractions
-(2x-9(-1x+2)-3)=0
We calculate terms in parentheses: -(2x-9(-1x+2)-3), so:
2x-9(-1x+2)-3
We multiply parentheses
2x+9x-18-3
We add all the numbers together, and all the variables
11x-21
Back to the equation:
-(11x-21)
We get rid of parentheses
-11x+21=0
We move all terms containing x to the left, all other terms to the right
-11x=-21
x=-21/-11
x=1+10/11

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