Sure! Let's break down the problem and find the number step by step.
1. Let's denote the unknown number by [tex]\( x \)[/tex].
2. According to the problem, seven times this number is equal to 12 more than three times the number. We can write this as an equation:
[tex]\[
7x = 3x + 12
\][/tex]
3. To find [tex]\( x \)[/tex], we need to solve this equation. First, let's get all the terms containing [tex]\( x \)[/tex] on one side of the equation. We'll do this by subtracting [tex]\( 3x \)[/tex] from both sides of the equation:
[tex]\[
7x - 3x = 12
\][/tex]
4. Simplify the left side:
[tex]\[
4x = 12
\][/tex]
5. Now, we need to solve for [tex]\( x \)[/tex]. We do this by dividing both sides of the equation by 4:
[tex]\[
x = \frac{12}{4}
\][/tex]
6. Simplify the division:
[tex]\[
x = 3
\][/tex]
So, the number is [tex]\( 3 \)[/tex].
