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3*(2x-1)-5*(x+4)=-2*(3x+1)
We simplify the equation to the form, which is simple to understand
3*(2x-1)-5*(x+4)=-2*(3x+1)
Reorder the terms in parentheses
+(+6x-3)-5*(x+4)=-2*(3x+1)
Remove unnecessary parentheses
+6x-3-5+*(+x+4+)=-2+*(+3x+1+)
Reorder the terms in parentheses
+6x-3+(-5x-20)=-2*(3x+1)
Remove unnecessary parentheses
+6x-3-5x-20=-2+*(+3x+1+)
Reorder the terms in parentheses
+6x-3-5x-20=+(-6x-2)
Remove unnecessary parentheses
+6x-3-5x-20=-6x-2
We move all terms containing x to the left and all other terms to the right.
+6x-5x+6x=-2+3+20
We simplify left and right side of the equation.
+7x=+21
We divide both sides of the equation by 7 to get x.
x=3
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