Question

If 5 (x + 2) = 7 (x - 3) then x =

Answer 1

Step-by-step explanation:

2x = 10+21

2x = 31

x= 31/2

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Answer 2

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

   Given data:- $5(x+2)=7(x-3).$

    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,

    $\Rightarrow 5(x+2)=7(x-3)\\\Rightarrow 5x+10=7x-21\\\Rightarrow 5x-7x=-21-10\\\Rightarrow -2x=-31\\\rightarrow x=\frac{31}{2}$

  Hence, the value will be $\frac{31}{2}.$