2f/5 - 8/5 + 2f=8

Answer 1

To solve the equation \( \frac{2f}{5} - \frac{8}{5} + 2f = 8 \), follow these steps:

1. Combine the terms involving \( f \). \[ \frac{2f}{5} + 2f = \frac{2f}{5} + \frac{10f}{5} = \frac{12f}{5} \] Therefore, the equation becomes: \[ \frac{12f}{5} - \frac{8}{5} = 8 \]

2. Add \( \frac{8}{5} \) to both sides to isolate the term with \( f \): \[ \frac{12f}{5} = 8 + \frac{8}{5} \]

3. Convert \( 8 \) to a fraction with a denominator of 5: \[ 8 = \frac{40}{5} \] So, \[ \frac{12f}{5} = \frac{40}{5} + \frac{8}{5} = \frac{48}{5} \]

4. Now, multiply both sides by 5 to eliminate the fraction: \[ 12f = 48 \]

5. Divide by 12 to solve for \( f \): \[ f = \frac{48}{12} = 4 \]

Thus, the solution is: \[ \boxed{4} \]