Question 178295
{{{(5/2)x+(1/4)x=9/4+x}}} Start with the given equation.



{{{4((5/cross(2))x+(1/cross(4))x)=4(9/cross(4)+x)}}} Multiply both sides by the LCD {{{4}}} to clear any fractions.



{{{10x+x=9+4x}}} Distribute and multiply.



{{{11x=9+4x}}} Combine like terms on the left side.



{{{11x-4x=9}}} Subtract {{{4x}}} from both sides.



{{{7x=9}}} Combine like terms on the left side.



{{{x=(9)/(7)}}} Divide both sides by {{{7}}} to isolate {{{x}}}.



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Answer:


So the answer is {{{x=9/7}}} which approximates to {{{x=1.286}}}.