Question

Solve the following equation and check your solution

7-2(x-3)=9

Answer 1

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

              Given data:- $7-2(x-3)=9.$

              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,

                   $7-2(x-3)=9\\\Rightarrow7-2 x+6=9\\\Rightarrow13-2 x=9\\\Rightarrow-2 x+13=9\\\Rightarrow-2 x=9-13\\\Rightarrow-2x=-4\\\Rightarrow x=\frac{-4}{-2} \\\Rightarrow x=2.$

         Hence we will get $x=2.$

Answer 2

From the data given in the question,

We have to determine the value of "x" in the expression given in the question,

From the data,

It is given that:- $7-2(x-3)=9.$

Here, 2 is multiplied with (x-3),

So we need to solve it firstly.

Then we will solve the obtained expression by separating the like terms at one side.

For solving we will separate the terms containing "x" at one side and the other constant at other side.

Hence, we will get it as,

$7-2(x-3)=9\\\Rightarrow7-2 x+6=9\\\Rightarrow13-2 x=9\\\Rightarrow-2 x+13=9\\\Rightarrow-2 x=9-13\\\Rightarrow-2x=-4\\\Rightarrow x=\frac{-4}{-2} \\\Rightarrow x=2.$

Hence the value of "x" in the given expression will be 2.