Question 55060
{{{ -4/(x-2)=-3/(5x-10)+6 }}}
First move the fraction on the right to the left side by adding its inverse
{{{ -4/(x-2) +3/(5x-10) = 6 }}}
multiply the first fraction by 5/5 to get common denominators
{{{ -20/(5x-10) +3/(5x-10) = 6 }}}
Combine like terms
{{{ -17/(5x-10) =6 }}}
Remember that anything over 1 is equal to itself
{{{ -17/(5x-10) = 6/1 }}}
Cross multiply
{{{ -17(1) = 6(5x-10) }}}
Distribute
{{{ -17 = 30x -60 }}}
Add 60 to both sides
{{{ 43 = 30x }}}
divide by 30
{{{ 43/30 = x }}}