Solve 0.25(4f-3)=0.05(10f-3)

$$0.25 ( 4 f - 3 ) = 0.05 ( 10 f - 3 )$$

Solve for f

$$f=1.2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.25 by 4f-3.

$$f-0.75=0.05\left(10f-3\right)$$

Use the distributive property to multiply 0.05 by 10f-3.

$$f-0.75=0.5f-0.15$$

Subtract 0.5f from both sides.

$$f-0.75-0.5f=-0.15$$

Combine f and -0.5f to get 0.5f.

$$0.5f-0.75=-0.15$$

Add 0.75 to both sides.

$$0.5f=-0.15+0.75$$

Add -0.15 and 0.75 to get 0.6.

$$0.5f=0.6$$

Divide both sides by 0.5.

$$f=\frac{0.6}{0.5}$$

Expand \frac{0.6}{0.5} by multiplying both numerator and the denominator by 10.

$$f=\frac{6}{5}$$