The value of x that has 10 units from the number is 3 is :
[tex]\lvert x-3\rvert=10[/tex]An absolute value has positive and negative signs, this will be :
[tex]\begin{gathered} x-3=10 \\ x=10+3 \\ x=13 \end{gathered}[/tex]and
[tex]\begin{gathered} x-3=-10 \\ x=-10+3 \\ x=-7 \end{gathered}[/tex]The answer is x = -7 and 13