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x-2(x+3)+3(x+4)=4(x+5)-5(-x-6)
We simplify the equation to the form, which is simple to understand
x-2(x+3)+3(x+4)=4(x+5)-5(-x-6)
Reorder the terms in parentheses
x+(-2x-6)+3*(x+4)=4*(x+5)-5*(-x-6)
Remove unnecessary parentheses
+x-2x-6+3+*(+x+4+)=+4+*(+x+5+)-5+*(-x-6+)
Reorder the terms in parentheses
x-2x-6+(+3x+12)=4*(x+5)-5*(-x-6)
Remove unnecessary parentheses
+x-2x-6+3x+12=+4+*(+x+5+)-5+*(-x-6+)
Reorder the terms in parentheses
x-2x-6+3x+12=+(+4x+20)-5*(-x-6)
Remove unnecessary parentheses
+x-2x-6+3x+12=+4x+20-5+*(-x-6+)
Reorder the terms in parentheses
x-2x-6+3x+12=+4x+20+(+5x+30)
Remove unnecessary parentheses
+x-2x-6+3x+12=+4x+20+5x+30
We move all terms containing x to the left and all other terms to the right.
+1x-2x+3x-4x-5x=+20+30+6-12
We simplify left and right side of the equation.
-7x=+44
We divide both sides of the equation by -7 to get x.
x=-6.28571428571
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