Question

`9(x+1) -4x = 5-(x-3)`

Answer 1

`x=(-1)/(6)`

Explanation:

`9(x+1) -4x = 5-(x-3)`

`9(x+1) -4x = 5-(x-3) \\`

`9x+9\cdot1-4x=5-\left(x-3\right)`

`9x+9-4x=5-\left(x-3\right)`

`\left(9x-4x\right)+9=5-\left(x-3\right)`

`5x+9=5-\left(x-3\right)`

`5x+9=5-x+3`

`5x+9=-x+\left(5+3\right)`

`5x+9=-x+8`

`5x+9=-x+8`

`5x+9+x=-x+8+x`

`5x+x+9=-x+8+x`

`6x+9=-x+8+x`

`6x+9=-x+x+8`

`6x+9=8`

`6x+9=8`

`6x+9-9=8-9`

`6x=8-9`

`6x=-1`

`(6x)/(6)=(-1)/(6)`

`x=(-1)/(6)`