Solve for x: 3x + 7 = 25.

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.