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4(x+5)-2(x-4)=6(x-2)
We simplify the equation to the form, which is simple to understand
4(x+5)-2(x-4)=6(x-2)
Reorder the terms in parentheses
+(+4x+20)-2*(x-4)=6*(x-2)
Remove unnecessary parentheses
+4x+20-2+*(+x-4+)=+6+*(+x-2+)
Reorder the terms in parentheses
+4x+20+(-2x+8)=6*(x-2)
Remove unnecessary parentheses
+4x+20-2x+8=+6+*(+x-2+)
Reorder the terms in parentheses
+4x+20-2x+8=+(+6x-12)
Remove unnecessary parentheses
+4x+20-2x+8=+6x-12
We move all terms containing x to the left and all other terms to the right.
+4x-2x-6x=-12-20-8
We simplify left and right side of the equation.
-4x=-40
We divide both sides of the equation by -4 to get x.
x=10
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