Twice the sum of a number and 5 is 2. What is the number?

Mar 11, 2018

The number is -4

Explanation:

Let the number be equal to x
$2 \left(x + 5\right) = 2$
$x + 5 = 1$
$x = - 4$

Mar 11, 2018

$- 4$

Explanation:

We can find out the number by forming an equation and solving it algebraically

$2 \left(x + 5\right) = 2$, where $x$ is equal to the unknown value

Distribute $2$ through the parenthesis

$2 x + 10 = 2$

Simplify by subtracting $10$ from both sides

$2 x = - 8$

Divide both sides by $2$ to isolate $x$

$x = - 4$

The previously unknown number is $- 4$

We can double-check this by doing the process the number goes through given in the question:

$- 4 + 5 = 1$

$2$x$1 = 2$

$\therefore$ the value of the number $- 4$