Question

The sum of 2 times a number and 4 is 8. Translate the sentence into an equation. Use the variable x for the unknown number

Answer 1

Let:

x = Unknown number

The sum of 2 times a number and 4 can be expressed as:

$2x+4$

Since the result is 8, the equation is given by:

$2x+4=8$

Solve for x:

Subtract 4 from both sides:

$\begin{gathered} 2x+4-4=8-4 \\ 2x=4 \end{gathered}$

Divide both sides by 2:

$\begin{gathered} \frac{2x}{2}=\frac{4}{2} \\ x=2 \end{gathered}$

Answer:

x = 2