Question 176550
For A, -7 is not a solution,
{{{abs(x)-3=10}}}
{{{abs(-7)-3=10}}}
{{{7-3=10}}}
{{{4=10}}}
A.)Let's do it this way,
{{{abs(x)-3=10}}}
{{{abs(x)=13}}}
Absolute value problems are really two problems in one: positive and negative because{{{abs(z)=z}}} when {{{z>=0}}}
{{{abs(z)=-z}}} when {{{z<0}}}
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{{{abs(x)=13}}}
Positive solution
{{{x=13}}}
Negative solution
{{{-x=13}}}
{{{x=-13}}}
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B.) Good answers. 
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C.){{{4*abs(2x+1)-5=3}}}
{{{4*abs(2x+1)=8}}}
{{{abs(2x+1)=2}}}
Positive solution
{{{2x+1=2}}}
{{{2x=1}}}
{{{x=1/2}}}
Negative solution
{{{-(2x+1)=2}}}
{{{2x+1=-2}}}
{{{2x=-3}}}
{{{x=-3/2}}}