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5(x-9)/4=4(x+9)/5
We simplify the equation to the form, which is simple to understand
5(x-9)/4=4(x+9)/5
Reorder the terms in parentheses
+(+5x-45)/4=4*(x+9)/5
Reorder the terms in parentheses
+(+1.25x-11.25)=4*(x+9)/5
Remove unnecessary parentheses
+1.25x-11.25=+4+*(+x+9+)+/5
Reorder the terms in parentheses
+1.25x-11.25=+(+4x+36)/5
Reorder the terms in parentheses
+1.25x-11.25=+( + 0.8x+7.2)
Remove unnecessary parentheses
+1.25x-11.25=0.8x+7.2
We move all terms containing x to the left and all other terms to the right.
+1.25x-0.8x=+7.2+11.25
We simplify left and right side of the equation.
+ 0.45x=+18.45
We divide both sides of the equation by 0.45 to get x.
x=41
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