Solve for x: 13⋅x + 5 = 9⋅x -- 7

To solve the equation ( 13 \cdot x + 5 = 9 \cdot x - 7 ), you first want to isolate the variable ( x ).

Start by rearranging the terms involving ( x ) on one side:

Subtract ( 9 \cdot x ) from both sides:

[ 13 \cdot x - 9 \cdot x + 5 = -7 ]

This simplifies to:

[ 4 \cdot x + 5 = -7 ]

Next, isolate the term with ( x ) by subtracting 5 from both sides:

[ 4 \cdot x = -7 - 5 ]

This gives you:

[ 4 \cdot x = -12 ]

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

[ x = \frac{-12}{4} ]

So, ( x = -3 ).

The solution indicates that the correct answer is indeed ( -3.0 ), aligning with the choice that corresponds to that value.