<PRE><B>Question 85577</B>
{{{(x + 3)/4 - 3/2 = (x + 4)/8}}}


{{{8((x + 3)/4 - 3/2) = 8((x + 4)/8)}}} Multiply both sides by the LCD (which is 8)


{{{2(x + 3) - 4*3 = x + 4}}}  Distribute


{{{2(x + 3) - 12 = x + 4}}} Multiply


{{{2x + 6 - 12 = x + 4}}} Distribute again


{{{2x -6 = x + 4}}} Combine like terms


{{{2x -6 -x=4}}} Subtract x from both sides


{{{2x -x=4+6}}} Add 6 to both sides


{{{x=10}}} Combine like terms</PRE>