There are 32 students in the class. They are separated into groups of five and one group of seven. How many groups of five were there?

Let's denote the number of groups of five as \( x \). We know that there are 32 students in total, and they are separated into groups of five and one group of seven. This can be represented by the equation: \[ 5x + 7 = 32 \] We can solve this equation to find the value of \( x \), which represents the number of groups of five. Solve the equation by following steps: - step0: Solve for \(x\): \(5x+7=32\) - step1: Move the constant to the right side: \(5x=32-7\) - step2: Subtract the numbers: \(5x=25\) - step3: Divide both sides: \(\frac{5x}{5}=\frac{25}{5}\) - step4: Divide the numbers: \(x=5\)