Question 345574
{{{abs(x)-4=3x}}}
{{{x-4=3x}}} and {{{-x-4=3x}}}
{{{2x=-4}}} and {{{4x=-4}}}
{{{x=-2}}} and {{{x=-1}}}
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Verify both solutions.
{{{abs(-2)-4=3(-2)}}}
{{{2-4=-6}}}
False, this is not a solution.
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{{{abs(-1)-4=3(-1)}}}
{{{1-4=-3}}}
{{{-3=-3}}}
True, this is the only solution.
{{{highlight(x=-1)}}}
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Graphical verification also,
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{{{drawing(300,300,-5,5,-5,5,circle(-1,-3,0.2),grid(1),graph(300,300,-5,5,-5,5,abs(x)-4,3x))}}}