Question

If (2x – 1) + (x – 1) = x + 2 then the value of x is

Answer 1

Answer:

The required value of $x$ is $2$.      

Step-by-step explanation:

Given : $(2x-1)+(x-1)=x+2$

To find : The value of $x$.

Solution :

• The expression given is, $(2x-1)+(x-1)=x+2$
• We have to find the value of $x$.
• To find the value of $x$, we have to solve the given equation.
• The equation is,  

        $(2x-1)+(x-1)=x+2$

• Add like terms and constants together, we get

           ∴ $3x-2=x+2$

• Now, transpose the terms with variables at one side and constant terms at another side, we get

               ∴ $3x-x=2+2$

                     ∴ $2x=4$

                       ∴ $x=\frac{4}{2}$

                       ∴ $x=2$

• ∴ The required value of $x$ is $2$.        

Answer 2

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

                 Given data:- $(2x-1)+(x-1)=x+2.$

                 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,

           $(2x-1)+(x-1)=x+2\\2 x-1+x-1=x+2\\2 x-2+x=x+2\\3 x-2=x+2\\2 x=4\\x=\frac{4}{2} \\x=2.$

    Hence we will get the value  $x=2.$