Solve for X: Finding Daily Rate in Expression 2x+4 = 24 Windows

To solve this problem, we'll follow these steps:

• Step 1: Identify variables and create an equation.
• Step 2: Solve the equation for the unknown variable $x$.

Now, let's work through each step:

Step 1: We know the window cleaner cleans $2x + 4$ windows each day. Over 5 days, the total windows cleaned can be expressed as:

$5 \times (2x + 4) = 120$

Step 2: Let's simplify and solve this equation:

First, distribute the 5 across the parenthesis:

$5 \times 2x + 5 \times 4 = 120$

Simplifying further gives:

$10x + 20 = 120$

Subtract 20 from both sides to isolate the term containing $x$:

$10x = 100$

Now, divide both sides by 10 to solve for $x$:

$x = 10$

Therefore, the solution to the problem is $x = 10$.