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5(x-3)=2(x-1)-5(x-3)
We simplify the equation to the form, which is simple to understand
5(x-3)=2(x-1)-5(x-3)
Reorder the terms in parentheses
+(+5x-15)=2*(x-1)-5*(x-3)
Remove unnecessary parentheses
+5x-15=+2+*(+x-1+)-5+*(+x-3+)
Reorder the terms in parentheses
+5x-15=+(+2x-2)-5*(x-3)
Remove unnecessary parentheses
+5x-15=+2x-2-5+*(+x-3+)
Reorder the terms in parentheses
+5x-15=+2x-2+(-5x+15)
Remove unnecessary parentheses
+5x-15=+2x-2-5x+15
We move all terms containing x to the left and all other terms to the right.
+5x-2x+5x=-2+15+15
We simplify left and right side of the equation.
+8x=+28
We divide both sides of the equation by 8 to get x.
x=3.5
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