<PRE><B>Question 901994</B>
I am giving guidance but not a solution.


First, isolate the absolute value expression and treat it as a variable to solve.


Next, examine two cases for the input of the absolute value FUNCTION, as the entire expression INSIDE the absolute value function.


Either 5x-3 is POSITIVE OR ZERO; meaning that {{{abs(5x-3)=5x-3}}};
OR
5x-3 is NEGATIVE; meaning {{{abs(5x-3)=-(5x-3)=-5x+3}}}.


You can understand that second case if you would carefully examine according to the definition of absolute value and make reference to a number line.


Solve for both cases individually.</PRE>