SAT Question 12ee1edc: Linear Equations In One Variable answer and explanation with Desmos solution

Choice B is incorrect. Substituting $4$ for $b$ in the given equation yields $(4-2)x=8$, or $2x=8$. Dividing both sides of $2x=8$ by $2$ yields $x=4$. This gives exactly one solution, rather than no solution, for $x$.

Choice C is incorrect. Substituting $6$ for $b$ in the given equation yields $(6-2)x=8$, or $4x=8$. Dividing both sides of $4x=8$ by $4$ yields $x=2$. This gives exactly one solution, rather than no solution, for $x$.

Choice D is incorrect. Substituting $10$ for $b$ in the given equation yields $(10-2)x=8$, or $8x=8$. Dividing both sides of $8x=8$ by $8$ yields $x=1$. This gives exactly one solution, rather than no solution, for $x$.