Accuplacer Practice Test

Question: 1 / 400

In the equation 50 - x - (3x + 2) = 0, what is the value of x when x=3, y=-4, and z=2?

-15

0

12

To solve the equation 50 - x - (3x + 2) = 0, we first simplify the left side.

Starting from the equation:

50 - x - (3x + 2) = 0,

we can distribute the negative sign:

50 - x - 3x - 2 = 0.

Combining like terms gives us:

50 - 2 - 4x = 0,

which simplifies to:

48 - 4x = 0.

Next, we isolate the term involving x:

-4x = -48.

Dividing both sides by -4 yields:

x = 12.

Thus, the correct value of x is 12, which corresponds to the choice provided. This means when substituting the values of y and z into the equation is unnecessary, as no calculations for y or z are required to determine the value of x that satisfies the original equation. The only variable considered here is x, which leads us directly to the conclusion that 12 is indeed the solution for x in this equation.

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