Question 1055682

Determine x in the following:

b/a - dx/c = ax/b - c/d.

lcd = acbd

bcd/a - dxab/c = axcd/b - acbx/d

Unsure how to continue.  Thanks.
<pre>{{{b/a - dx/c = ax/b - c/d}}}
Yes, LCD is abcd
b(bcd) - dx(abd) = ax(acd) - c(abc) -------- Multiplying by LCD, abcd
{{{b^2cd - abd^2x = a^2cdx - abc^2}}}
{{{abc^2 + b^2cd - abd^2x = a^2cdx}}} ------- Adding {{{abc^2}}} to both sides
{{{abc^2 + b^2cd = a^2cdx + abd^2x}}} ------- Adding {{{abd^2x}}} to both sides
{{{abc^2 + b^2cd = x(a^2cd + abd^2)}}}
{{{highlight_green(highlight((abc^2 + b^2cd)/(a^2cd + abd^2)) = x)}}}