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2(x+1)2=5(4-x)
We simplify the equation to the form, which is simple to understand
2(x+1)2=5(4-x)
Reorder the terms in parentheses
+(+2x+2)*2=5*(4-x)
Reorder the terms in parentheses
+(+4x+4)=5*(4-x)
Remove unnecessary parentheses
+4x+4=+5+*(+4-x+)
Reorder the terms in parentheses
+4x+4=+(+20-5x)
Remove unnecessary parentheses
+4x+4=+20-5x
We move all terms containing x to the left and all other terms to the right.
+4x+5x=+20-4
We simplify left and right side of the equation.
+9x=+16
We divide both sides of the equation by 9 to get x.
x=1.77777777778
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