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0.4(x+100)-0.8x=0.2(100-x)
We move all terms to the left:
0.4(x+100)-0.8x-(0.2(100-x))=0
We add all the numbers together, and all the variables
0.4(x+100)-0.8x-(0.2(-1x+100))=0
We add all the numbers together, and all the variables
-0.8x+0.4(x+100)-(0.2(-1x+100))=0
We multiply parentheses
-0.8x+0.4x-(0.2(-1x+100))+40=0
We calculate terms in parentheses: -(0.2(-1x+100)), so:We add all the numbers together, and all the variables
0.2(-1x+100)
We multiply parentheses
-0.2x+20
Back to the equation:
-(-0.2x+20)
-0.4x-(-0.2x+20)+40=0
We get rid of parentheses
-0.4x+0.2x-20+40=0
We add all the numbers together, and all the variables
-0.2x+20=0
We move all terms containing x to the left, all other terms to the right
-0.2x=-20
x=-20/-0.2
x=+100
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