Solve for x: 11⋅x + 6 = 7⋅x -- 2

Solve for x: 11⋅x + 6 = 7⋅x -- 2

• A. --1.7
• B. --2.0
• C. --3.2
• D. --2.4

Answer: (B)

To solve the equation \( 11x + 6 = 7x - 2 \), the goal is to isolate the variable \( x \). First, we can start by getting all terms containing \( x \) on one side of the equation and constant terms on the other. We can achieve this by subtracting \( 7x \) from both sides: \[ 11x - 7x + 6 = -2 \] Simplifying this gives: \[ 4x + 6 = -2 \] Next, to isolate the term containing \( x \), subtract 6 from both sides: \[ 4x = -2 - 6 \] This simplifies to: \[ 4x = -8 \] Now, divide both sides by 4 to solve for \( x \): \[ x = -\frac{8}{4} \] This results in: \[ x = -2 \] Thus, the correct value of \( x \) is -2. This solution aligns with one of the choices presented, specifically the one that states \( -2.0 \). Understanding the step-by-step isolation of \( x \) is crucial for solving linear equations. By carefully moving terms around

To solve the equation ( 11x + 6 = 7x - 2 ), the goal is to isolate the variable ( x ).

First, we can start by getting all terms containing ( x ) on one side of the equation and constant terms on the other. We can achieve this by subtracting ( 7x ) from both sides:

[ 11x - 7x + 6 = -2 ]

Simplifying this gives:

[ 4x + 6 = -2 ]

Next, to isolate the term containing ( x ), subtract 6 from both sides:

[ 4x = -2 - 6 ]

This simplifies to:

[ 4x = -8 ]

Now, divide both sides by 4 to solve for ( x ):

[ x = -\frac{8}{4} ]

This results in:

[ x = -2 ]

Thus, the correct value of ( x ) is -2. This solution aligns with one of the choices presented, specifically the one that states ( -2.0 ).

Understanding the step-by-step isolation of ( x ) is crucial for solving linear equations. By carefully moving terms around