Question

(x-2)=1/2(x+4) then x=?​

Answer 1

Answer:

x = 8

Step-by-step explanation:

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

Multiply the brackets with 1/2

☛ x - 2 = 1/2x + 2

Multiply both the sides by 2

☛ 2(x - 2) = 2(1/2x + 2)

Multiply

☛ 2x - 4 = x + 4

Move the like terms i.e. move x to LHS and -4 to RHS. Remember, while shifting the numbers or variables from LHS to RHS and vice versa, then, + changes to - and - to +, × changes to ÷ and ÷ to ×

☛ 2x - x = 4 + 4

Calculate

∴ x = 8

∴ The value of x is 8

Let's check the solution :-

x - 2 = 1/2 × (x + 4)

By putting the value of x as 8

☛ 8 - 2 = 1/2 × (8 + 4)

Add 8 + 4 amd subtract 8 - 2

☛ 6 = 1/2 × 12

2 and 12 gets cancelled and we get

☛ 6 = 6

∴ LHS = RHS

Hence, the value of x is 8

Answer 2

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

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

=> x^2 + 4x -2x -8 = 1/2

=> x^2 + 2x - 8 = 1/2

=> 2x^2 + 4x -16 = 1

=> 2x^2 + 4x -16-1 = 0

=> 2x^2 + 4x -17 = 0

Let a = 2

b = 4

c = -17

As we know the quadratic equation formula,

(pls refer to the attachment for formula)

Form the attachment we know,

value of x = 4.16 or -4.08