Question

Given : 4x = 2 (x + 8 ) prove : x = 8

Answer 1

Answer:

x=8

Step-by-step explanation:

4x=2(x+8)

4x=2x+16

4x-2x=16

2x=16

x=16/2

x=8

Answer 2

Answer:

Hence, it is proved that the value of $x$ satisfies the equation.

Step-by-step explanation:

As per data given in the question,

Given that,

$4x = 2 (x + 8 )$

To prove : $x = 8$

As we have,

=> $4x = 2 (x + 8 )$

Apply distributive property,

=> $4x = 2 x + 16$

Subtraction property of equality,

Subtract $2x$ on both sides,

=> $4x-2x = 2 x + 16-2x$

=> $2 x= 16$

Division property of equality,

Divide both sides by $2$,

=> $\frac{2x}{2}=\frac{16}{2}$

Simplifying it further, we get

=> $x = 8$

Proof:-

Now, plug the value of $x$:

=> $4x = 2 (x + 8 )$

=> 4 ( 8 ) = 2 ( 8 + 8 )

=> 32 = 2 ( 16 )

=> 32 = 32

LHS = RHS