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Solve for x: 0 = 48 - 3x.

2 Answers

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Final answer:

To solve the equation 0 = 48 - 3x, add 3x to both sides, then divide by 3 to isolate x, which provides the solution x = 16.

Step-by-step explanation:

To solve for x in the equation 0 = 48 - 3x, follow these steps:

  1. First, add 3x to both sides of the equation to get 3x = 48.
  2. Then, divide both sides by 3 to isolate x on one side. This gives you x = 48 / 3.
  3. Finally, do the division to find that x = 16.

The solution to the equation is x = 16.

User Jason Hernandez
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Final Answer:

The value of x will be x = 16.

Step-by-step explanation:

The given equation is 0 = 48 - 3x. To solve for x, we need to isolate x on one side of the equation.

First, subtract 48 from both sides:

0 - 48 = 48 - 3x - 48

-48 = -3x

Next, divide both sides by -3 to solve for x:

(-48) / (-3) = (-3x) / (-3)

The result is x = 16.

In the initial equation, when we subtract 48 from both sides, we are essentially moving the constant term to the other side. This helps isolate the variable term containing x. By dividing both sides by -3, we find the value of x. It's important to perform the same operation on both sides of the equation to maintain balance and equality. The final solution, x = 16, satisfies the equation, making it true.

In summary, the step-by-step process involves transforming the equation by subtracting, then dividing to solve for x. This method is fundamental in algebraic problem-solving, ensuring that the solution is accurate and consistent with the given equation.

User Rakesh Gourineni
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