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

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

Solution

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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