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6x+3(100-x)=5(100)
We simplify the equation to the form, which is simple to understand
6x+3(100-x)=5(100)
Reorder the terms in parentheses
6x+(+300-3x)=5*(100)
Remove unnecessary parentheses
+6x+300-3x=+5+*(+100+)
Reorder the terms in parentheses
6x+300-3x=+(+500)
Remove unnecessary parentheses
+6x+300-3x=+500
We move all terms containing x to the left and all other terms to the right.
+6x-3x=+500-300
We simplify left and right side of the equation.
+3x=+200
We divide both sides of the equation by 3 to get x.
x=66.6666666667
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