Question

translate following words into an equation andthen solve the equation


"twice a number plus 7, is 23"

Answer 1

Let's translate the words into an equation step by step.

1. "twice a number" can be represented as \(2x\), where \(x\) is the number.
2. "plus 7" means we add 7 to the expression above, resulting in \(2x + 7\).
3. "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:

1. Subtract 7 from both sides:

\[
2x + 7 - 7 = 23 - 7
\]

This simplifies to:

\[
2x = 16
\]

2. Now, divide both sides by 2:

\[
x = \frac{16}{2}
\]

This simplifies to:

\[
x = 8
\]

So, the solution to the equation is:

\[
x = 8
\]