(0.20)(10)=0.05(10-x)+0.40(10-x)

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Solution for (0.20)(10)=0.05(10-x)+0.40(10-x) equation:



(0.20)(10)=0.05(10-x)+0.40(10-x)
We move all terms to the left:
(0.20)(10)-(0.05(10-x)+0.40(10-x))=0
We add all the numbers together, and all the variables
-(0.05(-1x+10)+0.40(-1x+10))+(0.2)10=0
We add all the numbers together, and all the variables
-(0.05(-1x+10)+0.40(-1x+10))+2=0
We calculate terms in parentheses: -(0.05(-1x+10)+0.40(-1x+10)), so:
0.05(-1x+10)+0.40(-1x+10)
We multiply parentheses
-0.05x-0.4x+0.5+4
We add all the numbers together, and all the variables
-0.45x+4.5
Back to the equation:
-(-0.45x+4.5)
We get rid of parentheses
0.45x-4.5+2=0
We add all the numbers together, and all the variables
0.45x-2.5=0
We move all terms containing x to the left, all other terms to the right
0.45x=2.5
x=2.5/0.45
x=5+0.25/0.45

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