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2(x+1)+3(x+2)=4(x-1)+5(x+2)
We simplify the equation to the form, which is simple to understand
2(x+1)+3(x+2)=4(x-1)+5(x+2)
Reorder the terms in parentheses
+(+2x+2)+3*(x+2)=4*(x-1)+5*(x+2)
Remove unnecessary parentheses
+2x+2+3+*(+x+2+)=+4+*(+x-1+)+5+*(+x+2+)
Reorder the terms in parentheses
+2x+2+(+3x+6)=4*(x-1)+5*(x+2)
Remove unnecessary parentheses
+2x+2+3x+6=+4+*(+x-1+)+5+*(+x+2+)
Reorder the terms in parentheses
+2x+2+3x+6=+(+4x-4)+5*(x+2)
Remove unnecessary parentheses
+2x+2+3x+6=+4x-4+5+*(+x+2+)
Reorder the terms in parentheses
+2x+2+3x+6=+4x-4+(+5x+10)
Remove unnecessary parentheses
+2x+2+3x+6=+4x-4+5x+10
We move all terms containing x to the left and all other terms to the right.
+2x+3x-4x-5x=-4+10-2-6
We simplify left and right side of the equation.
-4x=-2
We divide both sides of the equation by -4 to get x.
x=0.5
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