Question

How do you solve `x-5=-1/3x-6`?

Answer 1

Given `x-5 = -1/3x -6`
To solve:

• clear the fractional term
• re-arrange the terms

To clear the fractional term, multiply everything by 3
`color(white)("XXXXX")` `3x-15 = -1x -30`

To re-arrange terms, add `1x+15` to both sides
`color(white)("XXXXX")` `4x = 45`

then divide both sides by 4
`color(white)("XXXXX")` `x = 45/4 = 11¼`