Question

iii) x + 5 = 3(x - 4) + 5​

Answer 1

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

       Given data:- $x+5=3(x-4)+5.$

        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,

         $\Rightarrow x+5=3(x-4)+5\\\Rightarrow x+5=3x-12+5\\\Rightarrow x-3x=-12+5-5\\\Rightarrow -2x=-12\\\Rightarrow x=6.$

   Hence, the value will be $6.$

Answer 2

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

              Given data:- $x+5=3(x-4)+5.$

              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,

                 $\begin{array}{l}\Rightarrow x+5=3(x-4)+5 \\\Rightarrow x+5=3 x-12+5 \\\Rightarrow x-3 x=-12+5-5 \\\Rightarrow-2 x=-12 \\\Rightarrow x=6\end{array}$

Hence we will get the value of $x=6.$