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The sum of a number and 15 is -23 . Find the number
The unknown number is
◻.
(Simplify your answer.)

The sum of a number and $15$ is $-23$ . Find the number $\newline$ The unknown number is $\square$ . $\newline$ (Simplify your answer.)

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Opposites of rational numbers

Full solution

Q. The sum of a number and

15

is

-23

. Find the number

\newline

The unknown number is

\square

.

\newline

(Simplify your answer.)

Denote unknown number as $x$ : Let's denote the unknown number as $x$ . According to the problem, the sum of $x$ and $15$ is $-23$ . We can write this as an equation: $\newline$ $x + 15 = -23$
Write equation: To find the value of x, we need to isolate it on one side of the equation. We can do this by subtracting $15$ from both sides of the equation: $\newline$ $x + 15 - 15 = -23 - 15$
Isolate x: Simplifying both sides of the equation gives us: $\newline$ $x = -23 - 15$
Perform subtraction: Now, we perform the subtraction on the right side of the equation: $x = -38$
Check solution: We have found the value of $x$ . To ensure there are no math errors, we can substitute $x$ back into the original equation to check if the sum is indeed $-23$ : $\ -38 + 15 = -23$

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