Solve for x: 7⋅x + 2 = 3⋅x - 6

To solve the equation ( 7x + 2 = 3x - 6 ), the goal is to isolate ( x ). Start by moving all terms that involve ( x ) to one side and constant terms to the other side.

First, subtract ( 3x ) from both sides:

[

7x - 3x + 2 = -6

]

This simplifies to:

[

4x + 2 = -6

]

Next, isolate ( 4x ) by subtracting ( 2 ) from both sides:

[

4x = -6 - 2

]

This yields:

[

4x = -8

]

Now, divide by ( 4 ) to find ( x ):

[

x = \frac{-8}{4} = -2

]

Thus, ( x = -2 ).

Considering the choices provided, the correct answer reflects this value. As such, the value ( -2.0 ) relates accurately to the solution derived through the algebraic process.