Question 361801
{{{3(x-7)-2(x-5)=x-11}}} Start with the given equation.



{{{3x-21-2x+10=x-11}}} Distribute.



{{{x-11=x-11}}} Combine like terms on the left side.



{{{x=x-11+11}}} Add {{{11}}} to both sides.



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



{{{0x=-11+11}}} 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.