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x/5+3(x-1)/2=2(x-3)
We simplify the equation to the form, which is simple to understand
x/5+3(x-1)/2=2(x-3)
Reorder the terms in parentheses
+ 0.2x+(+3x-3)/2=2*(x-3)
Reorder the terms in parentheses
+ 0.2x+(+1.5x-1.5)=2*(x-3)
Remove unnecessary parentheses
+ 0.2x+1.5x-1.5=+2+*(+x-3+)
Reorder the terms in parentheses
+ 0.2x+1.5x-1.5=+(+2x-6)
Remove unnecessary parentheses
+ 0.2x+1.5x-1.5=+2x-6
We move all terms containing x to the left and all other terms to the right.
+ 0.2x+1.5x-2x=-6+1.5
We simplify left and right side of the equation.
-0.3x=-4.5
We divide both sides of the equation by -0.3 to get x.
x=15
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