Solve for X in the Linear Equation: 5x + 7 = 32

To solve this linear equation, follow these steps:

• Step 1: Isolate the term with $x$ by subtracting 7 from both sides of the equation.
• Step 2: Perform the subtraction to simplify the equation.
• Step 3: Divide both sides by 5 to solve for $x$.

Let’s perform each step:

Step 1: Subtract 7 from both sides:
$5x + 7 - 7 = 32 - 7$

This simplifies to:
$5x = 25$

Step 2: Divide both sides by 5 to isolate $x$:
$x = \frac{25}{5}$

Perform the division:
$x = 5$

Hence, the solution to the equation $5x + 7 = 32$ is $x = 5$.