Simplify `(k+3) - (3k - 5)` .

Equivalent to: `1(k+3) -1(3k-5)`

Use the distributive property:

`k + 3 -3k + 5`

`k-3k + 3 + 5`

` ``-2k +8`

or `-2(k+4)`

**The solution is -`2k+8` or `-2(k+4)` .**

To simplify `(k+3)-(3k-5)`

Multiply `-1` by each term inside the parentheses.

`k+3+5-3k `

Since `k` and `-3k` are like terms, add `-3k` to k to get `-2k` .

`-2k+3+5`

Add `5` to `3` to get `8` .

`-2k+8 `

Reorder the polynomial `-2k+8` alphabetically from left to right, starting with the highest order term.

`8-2k`

To simplify the expression `(k+3)-(3k-5)` , first we need to remove the parenthesis:

`= (k + 3) - (3k-5)`

`= k + 3 - 3k + 5`

Combine like terms.

`= 3 + 5 + k - 3k`

`= 8 - 2k`

Check if the resulting equation is factorable. In this case, it is factorable by 2. Factor out 2.

`= 2(4-k) ` **-> answer**

**Further Reading**