Set $\frac{3}{4}x + 2$ equal to $\frac{1}{4}x - 6$ and rewrite this as one equation involving only $x$.

To get rid of the denominators 4, try multiplying both sides by 4. Then combine like terms and solve step by step for $x$.

After simplifying, you should reach an equation like $2x = -32$ or $\frac{1}{2}x = -8$. Make sure you complete the final step to isolate $x$.

In Desmos, type y = (3/4)x + 2 on one line and y = (1/4)x - 6 on another so both lines are graphed.

Look for the point where the two lines cross. Tap or click that intersection point; Desmos will display its coordinates $(x, y)$.

Read the x-coordinate of the intersection point from Desmos. That x-value is the solution to the system and the correct choice among the options.

Both expressions are equal to $y$, so they must be equal to each other:

To avoid working with fractions, multiply both sides of the equation by 4:

This simplifies to:

Get all the $x$ terms on one side and the constants on the other.

Subtract $x$ from both sides:

So:

Now subtract 8 from both sides:

Divide both sides of $2x = -32$ by 2:

So the value of $x$ is $-16$, which corresponds to choice A.