Question 707544
Start by assigning x=a and equate it with the desired expression.

{{{5a-7+abs(a+4)=4a+3}}}
some steps,
{{{abs(a+4)=4a-5a+3+7}}}
{{{abs(a+4)=-a+10}}}


a+4 may be positive or negative.

If {{{a+4>0}}} Then {{{a+4=-a+10}}},
{{{2a=14}}}
{{{a=7}}}


If {{{a+4<0}}} Then {{{-(a+4)=-a+10}}},
{{{-a-4=-a+10}}}
{{{-a-(-a)=10+4}}}
{{{0=14}}}, 
False statement.  


Only answer is {{{highlight(a=7)}}}.