Question 992071
{{{ 5/( x+1 ) = 2/( x-3 ) }}}
Multiply both sides by {{{ ( x+1 )*( x-3 ) }}}
{{{ 5*( x-3 ) = 2*( x+1 ) }}}
{{{ 5x - 15 = 2x + 2 }}}
Subtract {{{ 2x }}} from both sides
{{{ 3x - 15 = 2 }}}
Add {{{ 15 }}} to both sides
{{{ 3x = 17 }}}
Divide both sides by {{{ 3 }}}
{{{ x = 17/3 }}}
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check answer:
{{{ 5/( x+1 ) = 2/( x-3 ) }}}
{{{ 5/( (17/3)+1 ) = 2/( (17/3)-3 ) }}}
{{{ 5/( (17/3)+(3/3) ) = 2/( (17/3)-(9/3) ) }}}
{{{ 5/( 20/3 ) = 2/( 8/3 ) }}}
{{{ 15/20 = 6/8 }}}
Divide top and bottom of the left side by {{{ 5 }}}
{{{ 3/4 = 6/8 }}}
Divide top and bottom of the right side by {{{ 2 }}}
{{{ 3/4 = 3/4 }}}
OK