Question 29881
{{{ (x-1)/(x+2) = (3x-2)/8x }}} if this is the appropriate format the solution is as follows ...
{{{ (x-1)/(x+2) = (3x-2)/8x }}} cross multiply and set the quantities equal to one another
{{{ (x-1)(8x) = (x+2)(3x-2) }}} Distribute the 8x
{{{ 8x^2 - 8x = (x+2)(3x-2) }}} Foil the right side
F: x * 3x = 3x^2
O: -2 * x = -2X
I:2* 3x = 6x
L: 2 * -2 = -4
{{{ 8x^2 - 8x = 3x^2 - 2x + 6x - 4 }}} Combine like terms 
{{{ 8x^2 - 8x = 3x^2 + 4x - 4 }}} Move everything to the left side
{{{ 5x^2 - 12x + 4 = 0 }}} factor
{{{ (5x-2)(x-2) = 0 }}} set each piec equal to 0
{{{ 5x-2=0 }}} or {{{ x-2=0 }}}
{{{ 5x=2 }}} or {{{ x=2 }}}
{{{x = 2/5 }}}
final answer : x = { 2/5 , 2 }