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Chapter 6: Problem 5

Solve and check each equation. \(\frac{x}{3}=4\)

Short Answer

Expert verified
The solution to the equation \(\frac{x}{3}=4\) is \(x = 12\).

Step by step solution

01

Identify the given equation

Firstly, write down the equation that needs to be solved, which is \(\frac{x}{3}=4\)
02

Isolate the variable

In order to isolate \(x\) on one side, we need to get rid of the divider 3. This can be done by multiplying both sides of the equation by 3. This gives \(x = 4 \times 3\).
03

Calculate the value of \(x\)

Now, simply calculate the right-hand side of the equation. After calculating, you get \(x = 12\).
04

Check the solution

To check if the solution is correct, you can substitute \(x=12\) back into the original equation. This gives \(\frac{12}{3} = 4\), which simplifies to 4 = 4. Since this is indeed the case, the solution \(x = 12\) is correct.

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