Question 490727
{{{18(x-9)+81=18x-9(18-x)}}} Start with the given equation.



{{{18x-162+81=18x-162+9x}}} Distribute.



{{{18x-81=18x-162+9x}}} Combine like terms on the left side.



{{{18x-81=27x-162}}} Combine like terms on the right side.



{{{18x=27x-162+81}}} Add {{{81}}} to both sides.



{{{18x-27x=-162+81}}} Subtract {{{27x}}} from both sides.



{{{-9x=-162+81}}} Combine like terms on the left side.



{{{-9x=-81}}} Combine like terms on the right side.



{{{x=(-81)/(-9)}}} Divide both sides by {{{-9}}} to isolate {{{x}}}.



{{{x=9}}} Reduce.



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Answer:


So the solution is {{{x=9}}}