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:

Step 2: Solve for $x$:

Subtract $x$ from both sides:

Subtract 15 from both sides:

Divide both sides by 4:

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

Each bouquet contains $x + 3$ flowers.

Therefore, each bouquet contains 5 flowers.