How do you combine like terms in 5t+8d-2t-3d?

Hint: This question is from the topic of algebra. In this question, we have to solve the term 5t+8d-2t-3d. In solving this question, we will first group the similar terms. After that, we will add the similar terms by taking the variables as common. After solving the further question, we will get our answer.

Complete step-by-step solution:
Let us solve this question.
In this question, we have asked to combine the like terms in 5t+8d-2t-3d. Or, we can say we have to solve the given term.
The given term is
5t+8d-2t-3d
Let us first group the terms of ‘d’ and then group the terms of ‘t’.
We can the equation as
\[5t+8d-2t-3d=\left( 5t-2t \right)+\left( 8d-3d \right)\]
Now, we will take out the common term that is ‘t’ outside the parentheses, we can write
\[\Rightarrow 5t+8d-2t-3d=t\left( 5-2 \right)+\left( 8d-3d \right)\]
Now, we will take out the common term that is ‘d’ outside the parentheses, we can write
\[\Rightarrow 5t+8d-2t-3d=t\left( 5-2 \right)+d\left( 8-3 \right)\]
The above equation can also be written as
\[\Rightarrow 5t+8d-2t-3d=t\left( 3 \right)+d\left( 8-3 \right)\]
The above equation can also be written as
\[\Rightarrow 5t+8d-2t-3d=t\left( 3 \right)+d\left( 5 \right)\]
The above equation can also be written as
\[\Rightarrow 5t+8d-2t-3d=3t+5d\]
Now, we have combined the like terms in \[5t+8d-2t-3d\].
The combined term is \[3t+5d\].

Note: As this question is from the topic of algebra, so we should have a better knowledge in that topic. Students should not try to add the unlike terms, otherwise the answer will be wrong. Always remember that we can add the like terms only or we can add the terms which have the same variables. Here, we have used the term parenthesis. Remember that the word parenthesis means brackets.