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3(x-5)/2=2(x+5)/3
We simplify the equation to the form, which is simple to understand
3(x-5)/2=2(x+5)/3
Reorder the terms in parentheses
+(+3x-15)/2=2*(x+5)/3
Reorder the terms in parentheses
+(+1.5x-7.5)=2*(x+5)/3
Remove unnecessary parentheses
+1.5x-7.5=+2+*(+x+5+)+/3
Reorder the terms in parentheses
+1.5x-7.5=+(+2x+10)/3
Reorder the terms in parentheses
+1.5x-7.5=+( + 0.666666666667x+3.33333333333)
Remove unnecessary parentheses
+1.5x-7.5=0.666666666667x+3.33333333333
We move all terms containing x to the left and all other terms to the right.
+1.5x-0.666666666667x=+3.33333333333+7.5
We simplify left and right side of the equation.
+ 0.833333333333x=+10.8333333333
We divide both sides of the equation by 0.833333333333 to get x.
x=13
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