Question 513412
{{{ 3/(x+4) -7 = -4/(x+4) }}}
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Add {{{ (4)/(x+4) }}} to both sides
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{{{ 3/(x+4) -7 +(4)/(x+4) =0 }}}
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Add 7 to both sides
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{{{ 3/(x+4) +(4)/(x+4) =7 }}}
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Notice you now have a common denominator.
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{{{ (3+4)/(x+4) =7 }}}
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{{{ 7/(x+4) = 7 }}}
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Now cross multiply.
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{{{ 7 = 7*(x+4) }}}
{{{ 7 = 7x + 28 }}}
{{{ 7x + 28 = 7 }}}
{{{ 7x = -21 }}}
{{{ x = -3 }}}
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Always check your answer.
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{{{ 3/(-3+4) = 3/1 = 3 }}}
{{{ 3 - 7 = -4 }}}
{{{ -4/(-3+4) = -4 }}}
{{{ -4 = -4 }}}
Correct.
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Answer:  {{{ x=-3 }}}
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Done.