Question 613352
{{{10(x+2)=9(x-3)+x}}} Start with the given equation.



{{{10x+20=9x-27+x}}} Distribute.



{{{10x+20=10x-27}}} Combine like terms on the right side.



{{{10x=10x-27-20}}} Subtract {{{20}}} from both sides.



{{{10x-10x=-27-20}}} Subtract {{{10x}}} from both sides.



{{{0x=-27-20}}} Combine like terms on the left side.



{{{0x=-47}}} Combine like terms on the right side.



{{{0=-47}}} Simplify.



Since this equation is <font size=4><b>never</b></font> true for any x value, this means that there are no solutions.