Answer:
[tex]x=-\frac{17}{28}[/tex]
Step-by-step explanation:
[tex]\frac{1}{4}(4x-1)=-\frac{1}{7}-\frac{5}{7}[/tex]
[tex]x-\frac{1}{4}=-\frac{6}{7}[/tex]
[tex]x = -\frac{6}{7} + \frac{1}{4}[/tex]
[tex]x = -\frac{17}{28}[/tex]
plug [tex]x[/tex] in the equation to make sure of your answer:
[tex]\frac{1}{4}(4x-1)=-\frac{1}{7}-\frac{5}{7}\\\frac{1}{4}(4(-\frac{17}{28}) -1)=-\frac{1}{7}-\frac{5}{7}\\-\frac{17}{28} -\frac{1}{4}=-\frac{6}{7}\\-\frac{6}{7}=-\frac{6}{7}[/tex]