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.2x+8(1000-x)=.65(1000-x)
We simplify the equation to the form, which is simple to understand
.2x+8(1000-x)=.65(1000-x)
Reorder the terms in parentheses
.2x+(+8000-8x)=.65*(1000-x)
Remove unnecessary parentheses
+.2x+8000-8x=+.65+*(+1000-x+)
Reorder the terms in parentheses
.2x+8000-8x=+(+650-0.65x)
Remove unnecessary parentheses
+.2x+8000-8x=+650-0.65x
We move all terms containing x to the left and all other terms to the right.
+ 0.2x-8x + 0.65x=+650-8000
We simplify left and right side of the equation.
-7.15x=-7350
We divide both sides of the equation by -7.15 to get x.
x=1027.972027972
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