Question

Simplify the given equation: \[3x - 5 + 23x - 9\]

Answer 1

Hint: In this question, we will use the basic concept of algebra. We can apply operations like addition and subtraction only on like terms. First we combine like terms and then apply operation. For example, 2x+5-x+2 in this example 2x, –x and 5,2 are like terms so we combine them and apply operation. (2x-x)+(5+2) and then x+7 is the answer.

Complete Step-by-Step solution:
Given, \[3x - 5 + 23x - 9\]
Here we transfer the terms having same variable on one side and rest of the terms to other side,
$ \Rightarrow 3x + 23x - 9 - 5$
Now add the constant terms together and other terms together, we get
$
   \Rightarrow 26x - \left( {9 + 5} \right) \\
   \Rightarrow 26x - 14 \\
$
Here we can see that we can take common multiples separated from the terms,
$ \Rightarrow 2\left( {13x - 7} \right)$
Final we get the simplified answer as: $2\left( {13x - 7} \right)$

Note: In this type of question first we have to separate the terms having the same variable on one side and other terms on the other side. Then we will perform the operations according to the question and we get the required answer.