Let's translate the words into an equation step by step.
- "twice a number" can be represented as \(2x\), where \(x\) is the number.
- "plus 7" means we add 7 to the expression above, resulting in \(2x + 7\).
- "is 23" means we set the equation equal to 23.
Putting it all together, we get the equation:
\[ 2x + 7 = 23 \]
Now, let's solve the equation:
- Subtract 7 from both sides:
\[ 2x + 7 - 7 = 23 - 7 \]
This simplifies to:
\[ 2x = 16 \]
- Now, divide both sides by 2:
\[ x = \frac{16}{2} \]
This simplifies to:
\[ x = 8 \]
So, the solution to the equation is:
\[ x = 8 \]
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