Question

Solve 21 –4(x -7)=x+20.

a. 5

b. -5

c. 29/5

d. 5/2​

Answer 1

Answer:

c.29/5

Step-by-step explanation:

21-4(x-7)= x+20

-4(x-7)-x=20-21

-4x+28-x=-1

-5x=-29

x=29/5

Answer 2

Answer:

The value of the equation is $\frac{29}{5} .$ So, the correct option is 'c'.

Step-by-step explanation:

As per the data given the question,

We have to find the value of the equation,

Given that,

$21 -4(x -7)=x+20$

Here we will use the transposition method,

Distributing the terms,

=> $21 -4x -28=x+20$

Add the numbers,

=> $49-4x =x+20$

Rearrange the terms,

=> $-4x+49 =x+20$

Subtract both sides by 49,

=> $-4x+49-49 =x+20-49$

=> $-4x=x-29$

Subtract x from both sides,

=> $-4x-x=x-29-x$

=> $-5x = -29$

Divide both sides by -5,

=> $x = \frac{29}{5}$

Hence, the required solution will be $\frac{29}{5} .$