Solve for x: 6⋅x + 2 = 4⋅x - 4

Solve for x: 6⋅x + 2 = 4⋅x - 4

• A. -2
• B. -3.0
• C. -1.5
• D. -2.5

Answer: (B)

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.

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.