Question 299191
{{{(5/2)x+(1/4)x=11/4+x}}} Start with the given equation.



{{{cross(4)^2((5/cross(2))x)+cross(4)((1/cross(4))x)=cross(4)(11/cross(4))+4(x)}}} Multiply EVERY term by the LCD {{{4}}} to clear out the fractions.



{{{10x+x=11+4x}}} Multiply and simplify.



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



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



{{{7x=11}}} Combine like terms on the left side.



{{{x=(11)/(7)}}} Divide both sides by {{{7}}} to isolate {{{x}}}.



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Answer:


So the solution is {{{x=11/7}}}