Question 615518
{{{3x-2(x-1)=x-6}}} Start with the given equation.



{{{3x-2x+2=x-6}}} Distribute.



{{{x+2=x-6}}} Combine like terms on the left side.



{{{x=x-6-2}}} Subtract {{{2}}} from both sides.



{{{x-x=-6-2}}} Subtract {{{x}}} from both sides.



{{{0x=-6-2}}} Combine like terms on the left side.



{{{0x=-8}}} Combine like terms on the right side.



{{{0=-8}}} Simplify.



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



So you got the right answer.