Question 550322
{{{(1/5)(x-10)+2/5=-x/3}}} Start with the given equation.



{{{(1/5)x-2+2/5=-x/3}}} Distribute.



{{{15((1/cross(5))x-2+2/cross(5))=15(-x/cross(3))}}} Multiply both sides by the LCD {{{15}}} to clear any fractions.



{{{3x-30+6=-5x}}} Distribute and multiply.



{{{3x-24=-5x}}} Combine like terms on the left side.



{{{3x=-5x+24}}} Add {{{24}}} to both sides.



{{{3x+5x=24}}} Add {{{5x}}} to both sides.



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



{{{x=(24)/(8)}}} Divide both sides by {{{8}}} to isolate {{{x}}}.



{{{x=3}}} Reduce.



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Answer:


So the solution is {{{x=3}}}