Question

How do you solve this sum?
3(x+8) = -2(x- 7)​

Answer 1

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

           Given data:- $3(x+8)=-2(x-7).$

           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,

          $3(x+8)=-2(x-7)\\\Rightarrow 3x+24=-2x+14\\\Rightarrow 3x+24-14=-2x\\\Rightarrow3x+10=-2x\\\Rightarrow 10=-2x-3x\\\Rightarrow 10=-5x\\\Rightarrow x=\frac{10}{-5} \\\Rightarrow x=-2.$

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

Answer 2

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

      Given data:-$3(x+8)=-2(x-7).$

      To find:- value of the expression.

      Solution:-

•  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 shifting method. we get,

           $\Rightarrow 3(x+8)=-2(x-7)\\\Rightarrow 3x+24=-2x+14\\\Rightarrow 3x+2x=14-24\\\Rightarrow 5x=-10\\\Rightarrow x=-2.$

 Hence, the value of $x$ will be $-2.$