Solve for x: 11⋅x + 6 = 7⋅x -- 2

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