Question

solve the following equation
4-3(x-2)=2​

Answer 1

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

       Given data:- $4-3(x-2)=2.$

       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,

        $\Rightarrow 4-3(x-2)=2\\\Rightarrow 4-3x+6=2\\\Rightarrow -3x=2-6-4\\\Rightarrow -3x=2-10\\\Rightarrow -3x=-8\\\rightarrow x=\frac{8}{3}.$

     Hence, the value will be $\frac{8}{3}.$

Answer 2

Given,

$4-3(x-2)=2$

We have to find the value of $x$

First identify the constants and variables

After that we have to move the constant terms are one side and variable terms are another side.

So that, we can easily find the value of $x$

$4-3(x-2)=2$

$4-3x+6=2$

$3x=10-2$

$3x=8$

$x=\frac{8}{3}$

Therefore, the value of $x$ is $\frac{8}{3}$.