Questions: If 2x + 3 = 13, what is the value of 4x?

If 2x + 3 = 13, what is the value of 4x?
Transcript text: 12. If $2 x+3=13$ what is the value of $4 x$ ?
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Solution

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Solution Steps

To solve for \(4x\), we first need to find the value of \(x\) by solving the equation \(2x + 3 = 13\). Once we have the value of \(x\), we can calculate \(4x\) by multiplying the value of \(x\) by 4.

Step 1: Solve for \(x\)

Given the equation:

\[ 2x + 3 = 13 \]

Subtract 3 from both sides:

\[ 2x = 10 \]

Divide both sides by 2 to solve for \(x\):

\[ x = \frac{10}{2} = 5 \]

Step 2: Calculate \(4x\)

Now that we have \(x = 5\), we can calculate \(4x\):

\[ 4x = 4 \times 5 = 20 \]

Final Answer

The value of \(4x\) is \(\boxed{20}\).

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