Question 875729
Rendering your equation exactly as written, {{{4/x+3 = 10/ 2x - 1}}}, the lowest common denominator is 2x.  Multiply left and right members by 2x.


{{{2x(4/x+3) = 2x(10/ 2x - 1)}}}
{{{8+6x=10-2x}}}
{{{8x=2}}}
{{{x=4}}}