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.10x+.8(500)=.30(x+500)
We simplify the equation to the form, which is simple to understand
.10x+.8(500)=.30(x+500)
Reorder the terms in parentheses
.10x+(+400)=.30*(x+500)
Remove unnecessary parentheses
+.10x+400=+.30+*(+x+500+)
Reorder the terms in parentheses
.10x+400=+( + 0.3x+150)
Remove unnecessary parentheses
+.10x+400=0.3x+150
We move all terms containing x to the left and all other terms to the right.
+ 0.1x-0.3x=+150-400
We simplify left and right side of the equation.
-0.2x=-250
We divide both sides of the equation by -0.2 to get x.
x=1250
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