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5x-5(2x+1)-3x+9(x-2)=3x+6(3-x)-5
We simplify the equation to the form, which is simple to understand
5x-5(2x+1)-3x+9(x-2)=3x+6(3-x)-5
Reorder the terms in parentheses
5x+(-10x-5)-3x+9*(x-2)=3x+6*(3-x)-5
Remove unnecessary parentheses
+5x-10x-5-3x+9+*(+x-2+)=+3x+6+*(+3-x+)-5
Reorder the terms in parentheses
5x-10x-5-3x+(+9x-18)=3x+6*(3-x)-5
Remove unnecessary parentheses
+5x-10x-5-3x+9x-18=+3x+6+*(+3-x+)-5
Reorder the terms in parentheses
5x-10x-5-3x+9x-18=3x+(+18-6x)-5
Remove unnecessary parentheses
+5x-10x-5-3x+9x-18=+3x+18-6x-5
We move all terms containing x to the left and all other terms to the right.
+5x-10x-3x+9x-3x+6x=+18-5+5+18
We simplify left and right side of the equation.
+4x=+36
We divide both sides of the equation by 4 to get x.
x=9
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