Question

Solve: 3(4x - 5) + 13 = 6x + 52.​

Answer 1

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

              Given data:- $3(4x-5)+13=6x+52.$

              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 wi.ll 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,

                  $3(4x-5)+13=6x+52\\=>12x-15+13=6x+52\\=>12 x-2=6 x+52\\=>12x=6x+54\\=>12x-6x=54\\=>6x=54\\=>x=\frac{54}{6}\\=>x=9$

       Hence we will get the value $x=9.$

Answer 2

Given: 3(4x - 5) + 13 = 6x + 52

To find The value of x

Solution: This is an example of a linear equation, where we have to find the value of an unknown variable. We have to find this unknown value and then only the given linear equation will be equal on both sides.

Now from above, we have

3(4x - 5) + 13 = 6x + 52

⇒12x-15+13 = 6x+52  [multiplying (4x-5) by 3]

⇒12x-2 = 6x+52  [subtracting-15+13]

⇒12x-6x = 52+2   [changing sidesand thus changing the signs]

⇒6x = 54

⇒x =  54/6

⇒x = 9

Hence the value of x is 9.