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12000=.9(x*2)+.08(x*4)+.01(x*6)
We simplify the equation to the form, which is simple to understand
12000=.9(x*2)+.08(x*4)+.01(x*6)
Reorder the terms in parentheses
12000=+(+1.8x)+.08*(+4x)+.01*(+6x)
Remove unnecessary parentheses
+12000=+1.8x+.08+*(+4x+)+.01+*(+6x+)
Reorder the terms in parentheses
12000=+1.8x+( + 0.32x)+.01*(+6x)
Remove unnecessary parentheses
+12000=+1.8x + 0.32x+.01+*(+6x+)
Reorder the terms in parentheses
12000=+1.8x + 0.32x+( + 0.06x)
Remove unnecessary parentheses
+12000=+1.8x + 0.32x + 0.06x
We move all terms containing x to the left and all other terms to the right.
-1.8x-0.32x-0.06x=-12000
We simplify left and right side of the equation.
-2.18x=-12000
We divide both sides of the equation by -2.18 to get x.
x=5504.5871559633
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