Solve for x: 13⋅x + 5 = 9⋅x -- 7

Solve for x: 13⋅x + 5 = 9⋅x -- 7

• A. --4.1
• B. --2.9
• C. --3.0
• D. --3.5

Answer: (C)

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.

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.