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} (2x)/(2)=(4)/(2) \\ x=2 \end{gathered}`

Answer:

x = 2