Question 395791
{{{3(2x+4)=2+6x+10}}} Start with the given equation.



{{{6x+12=2+6x+10}}} Distribute.



{{{6x+12=6x+12}}} Combine like terms on the right side.



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



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Jim