translate following words into an equation andthen solve the equation

"twice a number plus 7, is 23"

1 answer

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:

\[ 2x = 16 \]

  1. Now, divide both sides by 2:

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

This simplifies to:

\[ x = 8 \]

So, the solution to the equation is:

\[ x = 8 \]