Question 636086
{{{3/4x + 8 = 5/8x - 16}}}

{{{(3+32x)/4x=(5-182x)/8x}}}

{{{(3+32x)/cross(4x)=(5-182x)/cross(8x)}}}
{{{(3+32x)=(5-182x)/2}}}
{{{(2)(3+32x)=5-128x}}}
{{{6+64x=5-128x}}}
{{{64x+128x=5-6}}}
{{{64x+128x=5-6}}}
{{{192x=-1}}}
{{{x=-1/192}}}


if you question is as follows:
{{{3/(4x+8) = 5/(8x-16)}}}
{{{3/(4)(x+2) = 5/(8)(x-2)}}}
{{{(3)(8)(x-2)=(5)(4)(x+2)}}}
{{{cross(24)(x-2)=cross(20)(x+2)}}}
{{{12(x-2)=10(x+2)}}}
{{{12x-24=10x+20}}}
{{{12x-10x=20-24}}}
{{{2x=-4}}}
{{{x=-4/2}}}
{{{x=cross(-4)/cross(2)}}}
{{{x=-2}}}