Answer:
x = -16
Step-by-step explanation:
I was able to come to this conclusion by first giving [tex]\frac{1}{6}[/tex] and [tex]\frac{2}{3}[/tex] a common denominator.
[tex]\frac{4}{6} x +1 = \frac{1}{6}x -7[/tex]
From here all I had to do was simply simplify on both sides so I subtracted [tex]\frac{1}{6}[/tex] from both sides of the equation and got
[tex]\frac{3}{6}x + 1 = -7[/tex]
From the there I then subtracted the 1 from both sides of the equation so that the variable and the real number would be on different sides of the equal sign.
[tex]\frac{3}{6}x = -8[/tex]
Then I had to isolate the [tex]x[/tex] so I divided both sides by [tex]\frac{3}{6}[/tex] and got -16.
