SAT Question aeaba0b6: Linear Functions answer and explanation with Desmos solution

It's given that the function $f\left(x\right)=14+4x$ represents the total cost, in dollars, of attending an arcade when $x$ games are played. Substituting $58$ for $f\left(x\right)$ in the given equation yields $58=14+4x$. Subtracting $14$ from each side of this equation yields $44=4x$. Dividing each side of this equation by $4$ yields $11=x$. Therefore, $11$ games can be played for a total cost of $$58$.