Question

Solve the following and verify your answer : 2 (4x – 2) = 4(x + 1)​

Answer 1

Step-by-step explanation:

2(4x-2)=4(x+1)

8x-4=4x+4

8x-4x=4+4

4x=8

x=8/4

x=2

Therefore the value of x is 2

Verification of the solution x=2

LHS=2(4x-2)

=8x-4

=8(2)-4

=16-4

=12

RHS=4(x+1)

=4x+4

=4(2)+4

=8+4

=12

since LHS=RHS

therefore x=2 is the solution

Hence Verified

Answer 2

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

              Given data:- $2(4x-2)=4(x+1).$

              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,

                  $2(4x-2)=4(x+1)\\=>8x-4=4x+4\\=>8x=4x+8\\=>8x-4x=8\\=>4x=8\\=>x=\frac{8}{4} \\=>x=2$

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