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10(x+9)=5(4x-2)
We simplify the equation to the form, which is simple to understand
10(x+9)=5(4x-2)
Reorder the terms in parentheses
+(+10x+90)=5*(4x-2)
Remove unnecessary parentheses
+10x+90=+5+*(+4x-2+)
Reorder the terms in parentheses
+10x+90=+(+20x-10)
Remove unnecessary parentheses
+10x+90=+20x-10
We move all terms containing x to the left and all other terms to the right.
+10x-20x=-10-90
We simplify left and right side of the equation.
-10x=-100
We divide both sides of the equation by -10 to get x.
x=10
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