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2/3(x-6)=3/4(x+16)
We simplify the equation to the form, which is simple to understand
2/3(x-6)=3/4(x+16)
Reorder the terms in parentheses
+( + 0.66666666666667x-4)=0.75*(x+16)
Remove unnecessary parentheses
+ 0.66666666666667x-4=0.75+*(+x+16+)
Reorder the terms in parentheses
+ 0.66666666666667x-4=+( + 0.75x+12)
Remove unnecessary parentheses
+ 0.66666666666667x-4=0.75x+12
We move all terms containing x to the left and all other terms to the right.
+ 0.66666666666667x-0.75x=+12+4
We simplify left and right side of the equation.
-0.083333333333333x=+16
We divide both sides of the equation by -0.083333333333333 to get x.
x=-192
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