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(x+2)-2(2-4x)=5(x+4)-2
We simplify the equation to the form, which is simple to understand
(x+2)-2(2-4x)=5(x+4)-2
Remove unnecessary parentheses
x+2-2*(2-4x)=5*(x+4)-2
Reorder the terms in parentheses
x+2+(-4+8x)=5*(x+4)-2
Remove unnecessary parentheses
+x+2-4+8x=+5+*(+x+4+)-2
Reorder the terms in parentheses
x+2-4+8x=+(+5x+20)-2
Remove unnecessary parentheses
+x+2-4+8x=+5x+20-2
We move all terms containing x to the left and all other terms to the right.
+1x+8x-5x=+20-2-2+4
We simplify left and right side of the equation.
+4x=+20
We divide both sides of the equation by 4 to get x.
x=5
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