Question 92980
{{{8x-5+9x=17x-5}}} Start with the given equation



{{{17x-5=17x-5}}}  Combine the variable terms 8x and  9x  on the left side to get 17x




{{{17x=17x-5+5}}} Add 5 to both sides



{{{17x-17x=-5+5}}} Subtract 17x from both sides




{{{0 x=-5+5}}} Combine like terms {{{17 x}}} and {{{-17 x}}} on the left side to get {{{0 x}}}





{{{0 x=0}}} Combine like terms 5 and -5 on the right side to get 0



{{{0=0}}} Simplify



Since this equation is true for any x value, this means x can equal any number. So there are an infinite number of solutions.