Question

Use the general solution to solve

Answer 1

For this case we must solve the following linear equation:

$5-6x = 8x + 17$

Adding$6x$ to both sides of the equation we have:

$5 = 8x + 6x + 17\\5 = 14x + 17$

Subtracting 17 from both sides of the equation:

$5-17 = 14x$

Different signs are subtracted and the major sign is placed:

$-12 = 14x$

We divide by 14 on both sides of the equation:

$x = - \frac {12} {14}\\x = - \frac {6} {7}$

Answer:

$x = - \frac {6} {7}$