Question

How do you solve `(x+1) / 2 + 1 = (x-5) / 3`?

Answer 1

`x=-19`

Explanation:

First, we have `(x+1)/2 +1 = (x-5)/3`
Simplifying the left hand side, we have,
`(x+1)/2+1`
`(x+1+2)/2`
`(x+3)/2`
So we now have,
`(x+3)/2 = (x-5)/3`
Multiply each side with the divisor from the other side.
`(x+3)*3=(x-5)*2`
`3x+9=2x-10`
Subtract `2x` from both sides
`3x-2x+9 = 2x-2x-10`
`x+9 = -10`
Subtract `9` from both sides
`x+9-9 = -10-9`
`x =-19`