Question

What is the solution of the equation 6x - 4 = 2(3x - 2). Explain your steps.​

Answer 1

Answer: x= 4/3 but in decimal form =1.333

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4-(2*(3*x-2))=0

4 -  2 • (3x - 2)  = 0

Pull out like factors :

  8 - 6x  =   -2 • (3x - 4)  

Solve  :    3x-4 = 0  

Add  4  to both sides of the equation :  

                     3x = 4

Divide both sides of the equation by 3:

                    x = 4/3 = 1.333

Answer 2

Answer:

x= undefined

Step-by-step explanation:

In order to make u understand , if u multiply 2(3x-2) it becomes 6x-4 which is the exact same as the left hand side . Therefore u cant find x from here in this manner .

For this however we can try the method bellow .

Lets say f(x)=y=6x-4=2(3x-2)

we can get the followig points for inserting domains and finind the domains . we can make graph for each . (We will not do them however)

As we have seen that both of those parts of the equation are one and the same so they will produce the exact same Line or curve .

Therefore every signle points on them r the same exact points and there fore they are the same exact line .

So the value of x is undefined and can be anything between every points on that line (Which can be infinit amounts of points) .