Question 640548
{{{w+1/2=w/4+2}}} Start with the given equation.



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



{{{4w+2=w+8}}} Multiply and simplify.



{{{4w=w+8-2}}} Subtract {{{2}}} from both sides.



{{{4w-w=8-2}}} Subtract {{{w}}} from both sides.



{{{3w=8-2}}} Combine like terms on the left side.



{{{3w=6}}} Combine like terms on the right side.



{{{w=(6)/(3)}}} Divide both sides by {{{3}}} to isolate {{{w}}}.



{{{w=2}}} Reduce.



----------------------------------------------------------------------


Answer:


So the solution is {{{w=2}}}