How do you find the numbers if twice the sum of 5 times a number and 8?

May 20, 2018
• Twice the sum of . . .

This means $2$ times whatever follows in the sentence

• $5$ times a number

Let $x$ represent the unknown number (a number) that $5$ is being multiplied by

Therefore, $5$ times a number is written as:

$5 \times x$ or $5 x$

• $5$ times a number ($5 x$) and $8$

$5 x$ and $8$ are being added as stated earlier in the sentence
"the sum of. . ."

5 times a number and 8 is written as:

$5 x + 8$

Now, apply "twice the sum of..." to $5 x + 8$

$2 \left(5 x + 8\right)$

$2 \left(5 x + 8\right)$ is the expression of " twice the sum of 5 times a number and 8"

Although, the value of $x$, the unknown number, cannot be found because there is no value given for the solution such as $2 \left(5 x + 8\right) = 12$