[tex]\begin{gathered} -\frac{7}{4}x=\frac{7}{12}-\frac{7}{6}x \\ \\ \text{Add }\frac{7}{6}x\text{ to both sides} \\ -\frac{7}{4}x+\frac{7}{6}x=\frac{7}{12}-\frac{7}{6}x+\frac{7}{6}x \\ -\frac{7}{12}x=\frac{7}{12} \\ \\ \text{Then divide both sides by }-\frac{7}{12} \\ -\frac{7}{12}x=\frac{7}{12} \\ -\frac{7}{12}x\div-\frac{7}{12}=\frac{7}{12}\div-\frac{7}{12} \\ \\ x=-1 \end{gathered}[/tex]