What is the value of x that makes the given equation true?

x−3x=2(4+x)​

A. x=−4​

​​B. ​ x=−3​

​​ C. x=−2​

D. ​ x=−1​

Respuesta :

Answer:

C

Step-by-step explanation:

The value of x that makes the given equation true is C. x=−2​.

What are linear equation?

A linear equation only has one or two variables. No variables in a linear equation is raised to power greater than 1 or used as denominator of a fraction.

Now the given equation is,

x − 3x = 2(4+x)​

To find the value of x we need to solve the given equation,

First we do is open the bracket,

x − 3x = 8 + 2x

Solving L.H.S, we get

-2x  ​= 8 + 2x

Substraction 2x both the sides,

- 2x - 2x  ​= 8 + 2x - 2x

Solving them,

-4x  ​= 8

Dividing the whole equation by -4 we get,

x = -2

which is the required value of x.

The value of x that makes the given equation true is C. x=−2​.

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