Question 178358
{{{(x+8)/2-(x-4)/8=x/4}}} Start with the given equation.



{{{8((x+8)/cross(2))-cross(8)((x-4)/cross(8))=8(x/cross(4))}}} Multiply EVERY fraction by the LCD 8 to clear the fractions.



{{{4(x+8)-(x-4)=2x}}}



{{{4x+32-x+4=2x}}} Distribute.



{{{3x+36=2x}}} Combine like terms on the left side.



{{{3x=2x-36}}} Subtract {{{36}}} from both sides.



{{{3x-2x=-36}}} Subtract {{{2x}}} from both sides.



{{{x=-36}}} Combine like terms on the left side.



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


Answer:


So the answer is {{{x=-36}}}