Question 152252
{{{(8x-10)/(10-8x)}}} Start with the given expression.



{{{(2(4x-5))/(10-8x)}}} Factor {{{8x-10}}} to get {{{2(4x-5)}}}.



{{{(2(4x-5))/(-2(4x-5))}}} Factor {{{10-8x}}} to get {{{2(5-4x)=-2(4x-5)}}}.



{{{(highlight(2)highlight((4x-5)))/(-highlight(2)highlight((4x-5)))}}} Highlight the common terms




{{{(cross(2)cross((4x-5)))/(-cross(2)cross((4x-5)))}}} Cancel out the common terms



{{{-1}}} Simplify




So {{{(8x-10)/(10-8x)}}} simplifies to {{{-1}}}



In other words, {{{(8x-10)/(10-8x)=-1}}} where {{{x<>5/4}}}