To solve for the unknown number, let's follow these steps:
1. Let the unknown number be denoted as [tex]\( x \)[/tex].
2. According to the problem, when 12 is added to the product of 7 and [tex]\( x \)[/tex], the result is 47. We can express this relationship as an equation:
[tex]\[
7x + 12 = 47
\][/tex]
3. The goal is to isolate [tex]\( x \)[/tex] on one side of the equation. To do this, first subtract 12 from both sides of the equation to get rid of the constant term on the left side:
[tex]\[
7x + 12 - 12 = 47 - 12
\][/tex]
Simplifying both sides, we get:
[tex]\[
7x = 35
\][/tex]
4. Next, to solve for [tex]\( x \)[/tex], divide both sides of the equation by 7:
[tex]\[
\frac{7x}{7} = \frac{35}{7}
\][/tex]
Simplifying this division, we find:
[tex]\[
x = 5
\][/tex]
Therefore, the number is [tex]\( 5 \)[/tex].
