<PRE><B>Question 228465</B>
In this problem:

{{{(x+1)/(2x-4)}}}={{{4/5}}}

you would cross multiply the fractions.

{{{(5)(x+1)=(4)(2x-4)}}}

Next is to multiply.

{{{5x+5=8x-16}}}


Now you want to solve for x by getting it by itself.
You can subtract the 8x from the right side (either 8x or 5x will work)


{{{5x-8x+5=-16}}}

Now combine like terms.

{{{-3x+5=-16}}}

Now, subtract the 5 to the other side of the equation.

{{{-3x=-21}}}

Next, divide -3 into itself and the other side of the equation.

{{{-3x/-3=-21/-3}}}

Now your answer:

x=7

Remember: positive X negative = negative 
          negative X negative = positive</PRE>