Solve for x: 6⋅x + 6 = 4⋅x - 6.

To solve the equation ( 6x + 6 = 4x - 6 ), we can start by isolating the variable ( x ). The first step is to move all terms involving ( x ) to one side and the constant terms to the other side.

Subtract ( 4x ) from both sides of the equation:

[

6x - 4x + 6 = -6

]

This simplifies to:

[

2x + 6 = -6

]

Next, we want to isolate ( 2x ) by subtracting 6 from both sides:

[

2x = -6 - 6

]

This simplifies to:

[

2x = -12

]

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

[

x = \frac{-12}{2} = -6

]

Thus, the solution for ( x ) is -6. This corresponds to the choice of -6.0, which is in its simplest form and represents the value that satisfies the original equation when substituted back.

Reviewing the original equation with this value of ( x ):

Upon substitution:

[

6(-