Question

   (d) 3x + 8 = 5x + 2​

Answer 1

• As per the data given in the question, we have to determine the required number.

            Given data:- $3 x+8=5 x+2.$

            To find:- Find the value of $x.$

            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,

              $3 x+8=5 x+2\\ 3 x+8-5 x-2=0\\(3 x-5 x)+(8-2)=0 \\-2 x+6=0\\6=2 x\\ x=3.$

       Hence we will get the value $x=3.$

Answer 2

Given: The equation is$3x + 8 = 5x + 2$.

We have to find the value of$x$.

For this first, we will Identify the variables and constants in the given equation.

And then we Simplify the equation in LHS and RHS.

Then we will transpose or shift the term on the other side to solve the equation further simplest.

After that, we will Simplify the equation using arithmetic operation as required that is mentioned in the above rule of the linear equations.

Then the result will be the solution for the given linear equation.

Now by using the transposition method:

We have,

=> $3x + 8 = 5x + 2$

$=>3x-5x=2-8\\=>-2x=-6\\=>2x=6\\=>x=\frac{6}{2}$

Solving the above equation further we get,

$=>x=3$

Hence, the value of$x$ will be$3$.