Question

Q.2 Simplify :

4( 2x − 1 ) + 4x + 5 and find the value for x=2 ​

Answer 1

• As per the data given in the question, we have to find the value of expression.

       Given data:- $4(2x-1)+4x+5$

        To find:- value of the expression.

        Solution:-

• Here, we will use the below following steps to find a solution using the transposition method:

• Step 1:- we will Identify the variables and constants in the given simple equation.

• Step 2:-then we Simplify the equation in LHS and RHS.

• Step 3:- Transpose or shift the term on the other side to solve the equation further simplest.

• Step 4:- Simplify the equation using arithmetic operation as required that is mentioned in rule 1 or rule 2 of linear equations.

• Step 5:- Then the result will be the solution for the given linear equation.

        By using the transposition method. we get,

        $\Rightarrow 4(2x-1)+4x+5\\\Rightarrow 8x-4+4x+5\\\Rightarrow 12x+1$

       Then, putting the value of $x=2.$

        $=12x+1\\=12\times2+1\\=24+1\\=25.$

      Hence, the value will be $25.$

Answer 2

Given that:- $4(2x-1) +4x+5$

As we have to simplify the given expression and also find the value for $x=2.$

For that, we need to use the method of transposition,

To simplify the equation and obtain the value of the required parameter, the method of transposition includes doing the same thing on both sides of an equation in order to bring the related terms together and isolate the variable or unknown term.

Therefore,

$=>4(2x-1)+4x+5$

$=>8x-4+4x+5$

Combining the like terms,

$=>12x+1$

We have $x=2,$

Now substituting the value of x in the given expression,

$=>12(2)+1$

$=>24+1$

Adding both terms we get

$=>25$

Hence, the required value for $4(2x-1) +4x+5$ is $25.$