Solve for x: 12⋅x + 3 = 9⋅x -- 6. What is the value of x?

Solve for x: 12⋅x + 3 = 9⋅x -- 6. What is the value of x?

• A. --3.2
• B. --3.0
• C. --4.1
• D. --2.7

Answer: (B)

To solve the equation \( 12x + 3 = 9x - 6 \), the goal is to isolate the variable \( x \). First, we can simplify the equation by subtracting \( 9x \) from both sides: \[ 12x - 9x + 3 = -6 \] This simplifies to: \[ 3x + 3 = -6 \] Next, we can eliminate the constant term on the left side by subtracting 3 from both sides: \[ 3x = -6 - 3 \] This gives us: \[ 3x = -9 \] Now, to solve for \( x \), we divide both sides by 3: \[ x = \frac{-9}{3} \] This simplifies to: \[ x = -3 \] Thus, the value of \( x \) that satisfies the equation is indeed \( -3 \). This corresponds to the chosen answer, which indicates that the solution process was carried out correctly and leads to the value of \( x = -3 \).

To solve the equation ( 12x + 3 = 9x - 6 ), the goal is to isolate the variable ( x ).

First, we can simplify the equation by subtracting ( 9x ) from both sides:

[

12x - 9x + 3 = -6

]

This simplifies to:

[

3x + 3 = -6

]

Next, we can eliminate the constant term on the left side by subtracting 3 from both sides:

[

3x = -6 - 3

]

This gives us:

[

3x = -9

]

Now, to solve for ( x ), we divide both sides by 3:

[

x = \frac{-9}{3}

]

This simplifies to:

[

x = -3

]

Thus, the value of ( x ) that satisfies the equation is indeed ( -3 ). This corresponds to the chosen answer, which indicates that the solution process was carried out correctly and leads to the value of ( x = -3 ).