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2x-4(x-5)=2(10-x)
We simplify the equation to the form, which is simple to understand
2x-4(x-5)=2(10-x)
Reorder the terms in parentheses
2x+(-4x+20)=2*(10-x)
Remove unnecessary parentheses
+2x-4x+20=+2+*(+10-x+)
Reorder the terms in parentheses
2x-4x+20=+(+20-2x)
Remove unnecessary parentheses
+2x-4x+20=+20-2x
We move all terms containing x to the left and all other terms to the right.
+2x-4x+2x=+20-20
We simplify left and right side of the equation.
0x=0
0=0
This equation is an identity, so all real numbers are solutions.
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