Solve for x: 3x + 7 = 25.

Solve for x: 3x + 7 = 25.

• A. x = 4
• B. x = 5
• C. x = 6
• D. x = 7

Answer: (C)

To solve the equation \(3x + 7 = 25\), the first step is to isolate the variable \(x\). Start by subtracting 7 from both sides of the equation. This step will simplify the equation: \[ 3x + 7 - 7 = 25 - 7 \] This simplifies to: \[ 3x = 18 \] Next, to solve for \(x\), divide both sides by 3: \[ \frac{3x}{3} = \frac{18}{3} \] This results in: \[ x = 6 \] Thus, the solution to the equation is \(x = 6\). This value satisfies the original equation when substituted back, confirming it is valid. It is important to follow each step methodically in order to arrive at the correct solution.

To solve the equation (3x + 7 = 25), the first step is to isolate the variable (x). Start by subtracting 7 from both sides of the equation. This step will simplify the equation:

[

3x + 7 - 7 = 25 - 7

]

This simplifies to:

[

3x = 18

]

Next, to solve for (x), divide both sides by 3:

[

\frac{3x}{3} = \frac{18}{3}

]

This results in:

[

x = 6

]

Thus, the solution to the equation is (x = 6). This value satisfies the original equation when substituted back, confirming it is valid. It is important to follow each step methodically in order to arrive at the correct solution.