Question

mid-term assessment
solve the literal equation for x.
d = 5x + 10xf
x =

Explanation:

Step1: Factor out x

We have the equation \( d = 5x + 10xf \). Factor out \( x \) from the right - hand side: \( d=x(5 + 10f) \)

Step2: Solve for x

Divide both sides of the equation by \( 5 + 10f \) (assuming \( 5+10f
eq0 \)) to isolate \( x \). So \( x=\frac{d}{5 + 10f} \), and we can factor out 5 from the denominator: \( x=\frac{d}{5(1 + 2f)}=\frac{d}{5 + 10f} \)

Answer:

\(\frac{d}{5 + 10f}\) (or simplified as \(\frac{d}{5(1 + 2f)}\))