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}`