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5(4x+1)-2(3x-4)=2(x+3)-(3x-7)
We simplify the equation to the form, which is simple to understand
5(4x+1)-2(3x-4)=2(x+3)-(3x-7)
Reorder the terms in parentheses
+(+20x+5)-2*(3x-4)=2*(x+3)-(3x-7)
Remove unnecessary parentheses
+20x+5-2+*(+3x-4+)=+2+*(+x+3+)-(+3x-7+)
Reorder the terms in parentheses
+20x+5+(-6x+8)=2*(x+3)-(3x-7)
Remove unnecessary parentheses
+20x+5-6x+8=+2+*(+x+3+)-(+3x-7+)
Reorder the terms in parentheses
+20x+5-6x+8=+(+2x+6)-(3x-7)
Remove unnecessary parentheses
+20x+5-6x+8=+2x+6-(+3x-7+)
Remove unnecessary parentheses
+20x+5-6x+8=+2x+6-3x+7
We move all terms containing x to the left and all other terms to the right.
+20x-6x-2x+3x=+6+7-5-8
We simplify left and right side of the equation.
+15x=0
We divide both sides of the equation by 15 to get x.
x=0
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