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3(x+1)+2(2-x)=4(2x-1)-(5-x)
We simplify the equation to the form, which is simple to understand
3(x+1)+2(2-x)=4(2x-1)-(5-x)
Reorder the terms in parentheses
+(+3x+3)+2*(2-x)=4*(2x-1)-(5-x)
Remove unnecessary parentheses
+3x+3+2+*(+2-x+)=+4+*(+2x-1+)-(+5-x+)
Reorder the terms in parentheses
+3x+3+(+4-2x)=4*(2x-1)-(5-x)
Remove unnecessary parentheses
+3x+3+4-2x=+4+*(+2x-1+)-(+5-x+)
Reorder the terms in parentheses
+3x+3+4-2x=+(+8x-4)-(5-x)
Remove unnecessary parentheses
+3x+3+4-2x=+8x-4-(+5-x+)
Remove unnecessary parentheses
+3x+3+4-2x=+8x-4-5+1x
We move all terms containing x to the left and all other terms to the right.
+3x-2x-8x-1x=-4-5-3-4
We simplify left and right side of the equation.
-8x=-16
We divide both sides of the equation by -8 to get x.
x=2
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