Question 178498


{{{2(2x-8)=4(x-4)}}} Start with the given equation.



{{{4x-16=4x-16}}} Distribute.



{{{4x=4x-16+16}}} Add {{{16}}} to both sides.



{{{4x-4x=-16+16}}} Subtract {{{4x}}} from both sides.



{{{0x=-16+16}}} Combine like terms on the left side.



{{{0x=0}}} Combine like terms on the right side.



{{{0=0}}} Simplify.



Since this equation is <font size=4><b>always</b></font> true for any x value, this means x can equal any number. 



So there are an infinite number of solutions.