Question 975097
{{{ 3x + 1 = (( x - 5 )) / 2 }}}
Multiply both sides by {{{ 2 }}}
{{{ 6x + 2 = x - 5 }}}
Subtract {{{ x }}} from both sides
{{{ 5x + 2 = -5 }}}
Subtract {{{ 2 }}} from both sides
{{{ 5x = -2 -5 }}}
{{{ 5x = -7 }}}
Divide both sides by {{{ 5 }}}
{{{ x = -7/5 }}}
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check the answer:
{{{ 3x + 1 = (( x - 5 )) / 2 }}}
{{{ 3*(-7/5) + 1 = (( -7/5 - 5 )) / 2 }}}
{{{ -21/5 + 5/5 = (( -7/5 - 25/5 )) / 2 }}}
{{{ -16/5 = (( -32/5 )) / 2 }}}
{{{ -32/5 = -32/5 }}}
OK