For this case we must solve the following linear equation:
[tex]5-6x = 8x + 17[/tex]
Adding[tex]6x[/tex] to both sides of the equation we have:
[tex]5 = 8x + 6x + 17\\5 = 14x + 17[/tex]
Subtracting 17 from both sides of the equation:
[tex]5-17 = 14x[/tex]
Different signs are subtracted and the major sign is placed:
[tex]-12 = 14x[/tex]
We divide by 14 on both sides of the equation:
[tex]x = - \frac {12} {14}\\x = - \frac {6} {7}[/tex]
Answer:
[tex]x = - \frac {6} {7}[/tex]
