Question

solve the equation: 3x-7=x-2

Answer 1

Answer:

$3x - 7 = x - 2$

$→3x - x \: = \: 7 - 2$

$→ \: 2x \: = \: 5$

$→ \: x \: = \: \frac{5}{2}$

$→x \: = \: 2 \frac{1}{2}$

Answer 2

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

       Given data:- $3x-7=x-2.$

       To find:- 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,

         $\Rightarrow 3x-7=x-2\\\Rightarrow 3x-x=-2+7\\\Rightarrow 2x=5\\\Rightarrow x=\frac{5}{2}.$

    Hence, the value will be $\frac{5}{2}.$