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put this solution on YOUR website!The details are right except missed minus sign on ".046" in highlighted line
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.046 ( 500 -x) +.0715x = .05(500)
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.046 * 500 - .046 *x + .0715 *x = .05 * 500
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23 - .046x +.0715 x = 25
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subtract 23 both sides
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0 -.046x + .0715x =25 -23 =2
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.0255 x =2,,,,divide thru by .0255
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x= 78.43
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