Solve f+1/5=2(f-1)

$$\frac { f + 1 } { 5 } = 2 ( f - 1 )$$

Solve for f

$$f = \frac{11}{9} = 1\frac{2}{9} \approx 1.222222222$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5.

$$f+1=10\left(f-1\right)$$

Use the distributive property to multiply 10 by f-1.

$$f+1=10f-10$$

Subtract 10f from both sides.

$$f+1-10f=-10$$

Combine f and -10f to get -9f.

$$-9f+1=-10$$

Subtract 1 from both sides.

$$-9f=-10-1$$

Subtract 1 from -10 to get -11.

$$-9f=-11$$

Divide both sides by -9.

$$f=\frac{-11}{-9}$$

Fraction \frac{-11}{-9} can be simplified to \frac{11}{9} by removing the negative sign from both the numerator and the denominator.

$$f=\frac{11}{9}$$