Question 688261
{{{x+6(x-4)=24-x}}} Start with the given equation.



{{{x+6x-24=24-x}}} Distribute.



{{{7x-24=24-x}}} Combine like terms on the left side.



{{{7x=24-x+24}}} Add {{{24}}} to both sides.



{{{7x+x=24+24}}} Add {{{x}}} to both sides.



{{{8x=24+24}}} Combine like terms on the left side.



{{{8x=48}}} Combine like terms on the right side.



{{{x=(48)/(8)}}} Divide both sides by {{{8}}} to isolate {{{x}}}.



{{{x=6}}} Reduce.



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Answer:


So the solution is {{{x=6}}}