Solve for x: 6⋅x + 6 = 4⋅x - 6.

Solve for x: 6⋅x + 6 = 4⋅x - 6.

• A. 2.57
• B. --6.0
• C. --5.44
• D. --4.13

Answer: (B)

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(-

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(-