What is the solution for x in the equation 3x + 7 = 25?

What is the solution for x in the equation 3x + 7 = 25?

• A. x = 3
• B. x = 5
• C. x = 6
• D. x = 8

Answer: (C)

To solve for \( x \) in the equation \( 3x + 7 = 25 \), the first step is to isolate the term containing \( x \). This is done by eliminating the constant on the left side of the equation. By subtracting 7 from both sides, the equation simplifies as follows: \[ 3x + 7 - 7 = 25 - 7 \] \[ 3x = 18 \] Next, to solve for \( x \), you need to divide both sides of the equation by 3: \[ x = \frac{18}{3} \] \[ x = 6 \] Thus, the solution for \( x \) is 6. This result aligns with the calculation steps showing how to isolate \( x \) properly, leading to the final answer. It reinforces the importance of correctly handling algebraic operations in equations.

To solve for ( x ) in the equation ( 3x + 7 = 25 ), the first step is to isolate the term containing ( x ). This is done by eliminating the constant on the left side of the equation. By subtracting 7 from both sides, the equation simplifies as follows:

[

3x + 7 - 7 = 25 - 7

]

[

3x = 18

]

Next, to solve for ( x ), you need to divide both sides of the equation by 3:

[

x = \frac{18}{3}

]

[

x = 6

]

Thus, the solution for ( x ) is 6. This result aligns with the calculation steps showing how to isolate ( x ) properly, leading to the final answer. It reinforces the importance of correctly handling algebraic operations in equations.