Solve for x: 4x - 5 = 11.

Solve for x: 4x - 5 = 11.

• A. x = 2
• B. x = 3
• C. x = 4
• D. x = 5

Answer: (C)

To solve the equation \( 4x - 5 = 11 \), the goal is to isolate \( x \). Start by adding 5 to both sides of the equation to eliminate the -5 on the left side. This gives you: \[ 4x - 5 + 5 = 11 + 5 \] This simplifies to: \[ 4x = 16 \] Next, to solve for \( x \), divide both sides of the equation by 4: \[ x = \frac{16}{4} \] This calculation results in: \[ x = 4 \] Thus, the correct answer is that \( x = 4 \). This confirms that when you substitute \( 4 \) back into the original equation \( 4x - 5 = 11 \), it holds true: \[ 4(4) - 5 = 16 - 5 = 11 \] This demonstrates that the solution satisfies the initial equation.

To solve the equation ( 4x - 5 = 11 ), the goal is to isolate ( x ). Start by adding 5 to both sides of the equation to eliminate the -5 on the left side. This gives you:

[

4x - 5 + 5 = 11 + 5

]

This simplifies to:

[

4x = 16

]

Next, to solve for ( x ), divide both sides of the equation by 4:

[

x = \frac{16}{4}

]

This calculation results in:

[

x = 4

]

Thus, the correct answer is that ( x = 4 ). This confirms that when you substitute ( 4 ) back into the original equation ( 4x - 5 = 11 ), it holds true:

[

4(4) - 5 = 16 - 5 = 11

]

This demonstrates that the solution satisfies the initial equation.