Question 293151


{{{(5/4)x+(1/8)x=5/8+x}}} Start with the given equation.



{{{8((5/cross(4))x+(1/cross(8))x)=8(5/cross(8)+x)}}} Multiply both sides by the LCD {{{8}}} to clear any fractions.



{{{10x+x=5+8x}}} Distribute and multiply.



{{{11x=5+8x}}} Combine like terms on the left side.



{{{11x-8x=5}}} Subtract {{{8x}}} from both sides.



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



{{{x=(5)/(3)}}} Divide both sides by {{{3}}} to isolate {{{x}}}.



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Answer:


So the solution is {{{x=5/3}}}.