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2(x+3)-3(-3x+1)+4(x-5)=0
We simplify the equation to the form, which is simple to understand
2(x+3)-3(-3x+1)+4(x-5)=0
Reorder the terms in parentheses
+(+2x+6)-3*(-3x+1)+4*(x-5)=0
Remove unnecessary parentheses
+2x+6-3+*(-3x+1+)+4+*(+x-5+)=0
Reorder the terms in parentheses
+2x+6+(+9x-3)+4*(x-5)=0
Remove unnecessary parentheses
+2x+6+9x-3+4+*(+x-5+)=0
Reorder the terms in parentheses
+2x+6+9x-3+(+4x-20)=0
Remove unnecessary parentheses
+2x+6+9x-3+4x-20=0
We move all terms containing x to the left and all other terms to the right.
+2x+9x+4x=0-6+3+20
We simplify left and right side of the equation.
+15x=+17
We divide both sides of the equation by 15 to get x.
x=1.13333333333
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