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3(2x-3)+3(x-2)+2(2x+1)=5(x-1)
We simplify the equation to the form, which is simple to understand
3(2x-3)+3(x-2)+2(2x+1)=5(x-1)
Reorder the terms in parentheses
+(+6x-9)+3*(x-2)+2*(2x+1)=5*(x-1)
Remove unnecessary parentheses
+6x-9+3+*(+x-2+)+2+*(+2x+1+)=+5+*(+x-1+)
Reorder the terms in parentheses
+6x-9+(+3x-6)+2*(2x+1)=5*(x-1)
Remove unnecessary parentheses
+6x-9+3x-6+2+*(+2x+1+)=+5+*(+x-1+)
Reorder the terms in parentheses
+6x-9+3x-6+(+4x+2)=5*(x-1)
Remove unnecessary parentheses
+6x-9+3x-6+4x+2=+5+*(+x-1+)
Reorder the terms in parentheses
+6x-9+3x-6+4x+2=+(+5x-5)
Remove unnecessary parentheses
+6x-9+3x-6+4x+2=+5x-5
We move all terms containing x to the left and all other terms to the right.
+6x+3x+4x-5x=-5+9+6-2
We simplify left and right side of the equation.
+8x=+8
We divide both sides of the equation by 8 to get x.
x=1
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