Question 206467


{{{(1/2)x-5/3=(1/2)x+19/4}}} Start with the given equation.



{{{12((1/cross(2))x-5/cross(3))=12((1/cross(2))x+19/cross(4))}}} Multiply both sides by the LCD {{{12}}} to clear any fractions.



{{{6x-20=6x+57}}} Distribute and multiply.



{{{6x=6x+57+20}}} Add {{{20}}} to both sides.



{{{6x-6x=57+20}}} Subtract {{{6x}}} from both sides.



{{{0x=57+20}}} Combine like terms on the left side.



{{{0x=77}}} Combine like terms on the right side.



{{{0=77}}} Simplify.



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