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

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Answer 1 · 2018-03-11T00:50:50

The number is -4

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

Answer 2 · 2018-03-11T00:59:02

$-4$

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

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

Distribute $2$ through the parenthesis

$2x+10=2$

Simplify by subtracting $10$ from both sides

$2x=-8$

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 $1=2$

$:.$ the value of the number $-4$