Solve for X: Finding Flowers in 5(x+3) = 23+x Equation

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

• Step 1: Set up the equation based on the problem data.
• Step 2: Solve for $x$ using the equation.
• Step 3: Calculate the number of flowers in each bouquet.

Let's work through each step:

Step 1: Set up the equation based on the information given.
According to the problem, Hector has a total of $23+x$ flowers, calculated as $5 \times (x+3)$ flowers from the bouquets.
Thus, we set up the equation:

$5(x + 3) = 23 + x$

Step 2: Solve for $x$:

$5x + 15 = 23 + x$

Subtract $x$ from both sides:

$4x + 15 = 23$

Subtract 15 from both sides:

$4x = 8$

Divide both sides by 4:

$x = 2$

Step 3: Find the number of flowers in each bouquet:

Each bouquet contains $x + 3$ flowers.

$x + 3 = 2 + 3 = 5$

Therefore, each bouquet contains 5 flowers.