The expression we have to solve is:
[tex]-\frac{6}{8}x=3[/tex]Step 1. Multiply both sides by -8/6 to eliminate the 6 and the 8 on the left side:
[tex](-\frac{8}{6})(-\frac{6}{8})x=(-\frac{8}{6})(3)[/tex]Step 2. Simplify.
On the left side the 8s and the 6s cancell each other. Also since we have two negative numbers, the result will be possitive x.
[tex]x=(-\frac{8}{6})(3)[/tex]Step 3. Multiply the numbers on the right side
[tex]\begin{gathered} x=-\frac{8\times3}{6} \\ x=-\frac{24}{6} \\ \end{gathered}[/tex]Step 4. Divide 24 by 6
[tex]x=-4[/tex]Answer: x=-4
