Question 908847
{{{5(2x-1)+x+17=5x+6(x+2)}}} Start with the given equation.



{{{10x-5+x+17=5x+6x+12}}} Distribute.



{{{12+11x=5x+6x+12}}} Combine like terms on the left side.



{{{12+11x=12+11x}}} Combine like terms on the right side.



{{{11x=12+11x-12}}} Subtract {{{12}}} from both sides.



{{{11x-11x=12-12}}} Subtract {{{11x}}} 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 last equation {{{0=0}}} 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.


The solution set is the set of all real numbers.