Question 459175
{{{x-6(3-x)=7(3+x)}}} Start with the given equation.



{{{x-18+6x=21+7x}}} Distribute.



{{{7x-18=21+7x}}} Combine like terms on the left side.



{{{7x=21+7x+18}}} Add {{{18}}} to both sides.



{{{7x-7x=21+18}}} Subtract {{{7x}}} from both sides.



{{{0x=21+18}}} Combine like terms on the left side.



{{{0x=39}}} Combine like terms on the right side.



{{{0=39}}} Simplify.



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