Question 419867
Looks OK except at the end.
{{{ 1/4=(3x-2)/(x+1) }}}
Multiply both sides by {{{ 4*(x+1) }}}
{{{x + 1 = 4*(3x - 2) }}}
{{{x + 1 = 12x - 8}}}
Subtract {{{x}}} from both sides
{{{ 1 = 11x - 8 }}}
Add {{{8}}} to both sides
{{{ 9 = 11x }}}
{{{ x = 9/11 }}}
check the answer:
{{{ 3/4 = 1-(3x-2)/(x+1) }}}
{{{ 3/4 = 1-(3*(9/11) - 2)/((9/11)+1) }}}
{{{ 3/4 = 1-(3*(9/11) - 22/11)/(9/11+11/11) }}}
{{{ 3/4 = 1-( 5/11 )/(20/11) }}}
{{{ 3/4 = 1 - (5/11)*(11/20) }}}
{{{ 3/4 = 1 - 1/4 }}}
{{{ 3/4 = 3/4 }}}
OK