we are given the following equation:
[tex]7x+4=x-2[/tex]To solve for "x" we will first subtract "x" to both sides:
[tex]\begin{gathered} 7x-x+4=x-x-2 \\ 6x+4=-2 \end{gathered}[/tex]Now we will subtract 4 to both sides:
[tex]\begin{gathered} 6x+4-4=-2-4 \\ 6x=-6 \end{gathered}[/tex]Dividing both sides by 6:
[tex]x=-\frac{6}{6}=-1[/tex]Therefore, x = -1