Question 669632
{{{2(3x-6)=3(2x-4)}}} Start with the given equation.



{{{6x-12=6x-12}}} Distribute.



{{{6x=6x-12+12}}} Add {{{12}}} to both sides.



{{{6x-6x=-12+12}}} Subtract {{{6x}}} from both sides.



{{{0x=-12+12}}} 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.