Accuplacer Practice Test

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

The correct answer is: 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.