Question

.If 2m - 5 = 5( 2m + 3) then m is?​

Answer 1

• We have to evaluate the above expression by using the given data.

              Given data:- $2m-5=5(2m+3).$

              To find:- Value of the expression.

              Solution:-

• Here we will use the transposition method.

• Transposition is one of the linear equations.

• To solve the transposition method we will Identify the variables and constants.

• Then we Simplify the equation in LHS and RHS.

• Now Simplify the equation using arithmetic operations.

        By using the transposition method.

        we get,

                  $2m-5=5(2m+3)\\=>2m-5=10m+15\\=>2m=10m+15+5\\=>2m=10m+20\\=>2m-10m=20\\=>-8m=20\\=>m=\frac{20}{-8} \\=>m=-\frac{5}{2}\\=>m=-2.5.$

      Hence we will get the value $m=-2.5$ or $m=-\frac{5}{2} .$

Answer 2

Answer:

 The value of $m$ is $-\frac{5}{2}$.        

Step-by-step explanation:

Given : $2m-5=5(2m+3)$

To find : The value of $m$.

Solution :

• The given equation is, $2m-5=5(2m+3)$
• We have to find the value of $m$.
• While solving any algebraic equation, we should follow BODMAS rule.
• It states that while solving any algebraic equation, first solve B-Brackets, O-Order, D-Division, M-Multiplication, A-Addition and S-Subtraction.
• The given equation is,

       $2m-5=5(2m+3)$

• First, solve the bracket, we get

        $2m-5=10m+15$

• Transpose the terms with variable at one side and constant terms at another side, we get    

        ∴ $2m-10m=15+5$

               ∴  $-8m=20$

               ∴  $m=\frac{20}{-8}$

• Reducing the fraction, we get

                   ∴ $m=-\frac{5}{2}$

• ∴  The value of $m$ is $-\frac{5}{2}$.