Solve for x: 6⋅x + 2 = 4⋅x - 4

To solve the equation (6x + 2 = 4x - 4), we start by isolating the variable (x). First, we can subtract (4x) from both sides of the equation. This gives us:

[

6x - 4x + 2 = -4

]

This simplifies to:

[

2x + 2 = -4

]

Next, we subtract (2) from both sides to further isolate the term with (x):

[

2x = -4 - 2

]

This simplifies to:

[

2x = -6

]

Now, we divide both sides by (2) to solve for (x):

[

x = -3

]

Thus, the solution to the equation is (x = -3).

This shows that the correct answer is indeed the one that equates to (-3.0), as this verifies the calculations we performed. By following the steps methodically, each stage brings us closer to understanding how to manipulate equations involving variables efficiently.