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0.90x+.05(8-x)=.10(38)
We simplify the equation to the form, which is simple to understand
0.90x+.05(8-x)=.10(38)
Reorder the terms in parentheses
0.90x+( + 0.4-0.05x)=.10*(38)
Remove unnecessary parentheses
+ 0.90x + 0.4-0.05x=+.10+*(+38+)
Reorder the terms in parentheses
0.90x + 0.4-0.05x=+(+3.8)
Remove unnecessary parentheses
+ 0.90x + 0.4-0.05x=+3.8
We move all terms containing x to the left and all other terms to the right.
+ 0.9x-0.05x=+3.8-0.4
We simplify left and right side of the equation.
+ 0.85x=+3.4
We divide both sides of the equation by 0.85 to get x.
x=4
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