Question 1128078
{{{ ( x - 5 ) / (-2) = ( x - 1 ) / (-3) }}}
Multiply both sides by {{{ -6 }}}
minus divided by minus is plus
{{{ 3*( x - 5 ) = 2*( x - 1 ) }}}
{{{ 3x - 15 = 2x - 2 }}}
subtract {{{ 2x }}} from both sides
{{{ x - 15 = -2 }}}
Add {{{ 15 }}} to both sides
{{{ x = 13 }}}
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check answer:
{{{ ( x - 5 ) / (-2) = ( x - 1 ) / (-3) }}}
{{{ ( 13 - 5 ) / (-2) = ( 13 - 1 ) / (-3 ) }}}
{{{ 8/(-2) = 12/(-3) }}}
{{{ -4 = -4 }}}
OK