How do I simplify (k+3)-(3k-5)?

8 Answers | Add Yours

baxthum8's profile pic

baxthum8 | High School Teacher | (Level 3) Associate Educator

Posted on

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)` .

jerichorayel's profile pic

jerichorayel | College Teacher | (Level 2) Senior Educator

Posted on

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

Sources:
sid-sarfraz's profile pic

sid-sarfraz | Student, Graduate | (Level 2) Salutatorian

Posted on

QUESTION:-

How do I simplify (k+3)-(3k-5)?

SOLUTION:-

   (k+3) - (3k-5)

In order to solve this problem; we open up the brackets by multiplying each component of the second bracket with the minus sign:

= k + 3 -3k + 5

= k - 3k + 3 + 5

= -2k + 8 

Or  there is yet another way that this question can be further simplified;

= 2 (-k + 4) OR  = -2 (k - 4)

Hence Solved

malkaam's profile pic

malkaam | Student, Undergraduate | (Level 1) Valedictorian

Posted on

(k + 3) - (3k - 5)

To simplify this we can follow the rule of BODMAS or PEMDAS. First we have to remove the brackets,

k + 3 - 3k + 5

- 2k + 8

It cannot be simplified further so we factor out the above,

 - 2k + 8

- 2(k - 4) Answer

givingiswinning's profile pic

givingiswinning | Student, Grade 10 | (Level 1) Valedictorian

Posted on

(k+3)-(3k-5)

distribute negative

k+3-3k+5  

combine like terms

-2k+8 factor out

-2(k-4)

acompanioninthetardis's profile pic

acompanioninthetardis | Student, Undergraduate | (Level 1) Valedictorian

Posted on

(k+3)-(3k-5)

the answer would be -2k+8 because all you do is subtract the ones with k and the regular numbers following your negative rules. 

you can simplify this to 2(-k+4)

atyourservice's profile pic

atyourservice | Student, Grade 11 | (Level 3) Valedictorian

Posted on

 (k+3)-(3k-5)

k+3-3k+5   combine like terms

k-3k=-2k

3+5=8

-2k+8  is the answer or find the GCF

-2(k-4)

We’ve answered 318,957 questions. We can answer yours, too.

Ask a question