Question

4-4(x-5)=2(2-x)-6
Find x

Answer 1

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ANSWER :

4 - 4(x - 5) = 2 (2 - x) - 6

=> 4 - 4x + 20 = 4 - 2x - 6

=> -4x + 2x = 4 - 6 - 4 -20

=> -2x = -26

=> x = -26/ -2

=> x = 13

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Answer 2

Answer:

The value of the equation will be 13.

Step-by-step explanation:

In the context question asked that,

We have to find the value of the given equation,  

Given that,

$4-4(x-5)=2(2-x)-6$

Here we will use the transposition method,

Rearrange the terms, we get

=> $4-4(x-5)=2(-x+2)-6$

Now, distributing the terms:

=> $4-4x-20=-2x+4-6$

Simplifying it further,

=> $24 - 4x= -2x-2$

Rearranging the terms,

=> $- 4x+24= -2x-2$

Subtract both sides by 24,

=> $- 4x+24-24= -2x-2-24$

=> $-4x= -2x - 26$

Add $2x$ on both sides,

=> $-4x+2x= -2x - 26+2x$

=> $-2x = -26$

Divide both sides by -2,

=> $x = -13$

Hence, the required solution is -13.