f=–2+4/5f–3

Question

solve for f

Answer 1

To solve the equation \( f = -2 + \frac{4}{5}f - 3 \), let's first simplify the right-hand side:

1. Combine like terms on the right side: \[ f = -2 - 3 + \frac{4}{5}f \] \[ f = -5 + \frac{4}{5}f \]

2. Next, let's isolate \( f \). To do this, subtract \( \frac{4}{5}f \) from both sides: \[ f - \frac{4}{5}f = -5 \]

3. The left-hand side can be rewritten: \[ \frac{1}{5}f = -5 \]

4. Now, multiply both sides by 5 to solve for \( f \): \[ f = -25 \]

So the solution is: \[ \boxed{-25} \]