According to the condition, this equation has two solutions: -14/5 and 14/5.
Short explanation:
5|x|=14; ⇔ |x|=14/5; ⇒
[tex]\left[\begin{array}{ccc}x= -\frac{14}{5} \\x= \frac{14}{5} \\\end{array}[/tex]
PS. it's correct, if to substitute the values of 'x' into the condition/equation.