Question 788867
{{{3x+4-2x=6x+2-5x+2}}} Start with the given equation.



{{{x+4=6x+2-5x+2}}} Combine like terms on the left side.



{{{x+4=x+4}}} Combine like terms on the right side.



{{{x=x+4-4}}} Subtract {{{4}}} from both sides.



{{{x-x=4-4}}} Subtract {{{x}}} from both sides.



{{{0x=4-4}}} 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.