Question

Please explain this 7n-3=4n+12

Answer 1

Answer: n=5

Step-by-step explanation:

1. 7n-3=4n+12
2. 7n-4n=3n
3. 12+3=15
4. 3n=15
5. n=5

Answer 2

Hey there!

$\large\boxed{n=5}$

First, let's add 3 to each side of the equation to eliminate the -3 on the left side. We now have:

7n = 4n + 15

Now, let's subtract 4n from each side of the equation to eliminate the 4n on the right side. We now have:

3n = 15

Last, we can divide both sides of the equation to get rid of the 3 in front of the n. Our final answer is:

n = 5

Let's check the answer by replacing n with 5 in the equation.

7(5) - 3 = 4(5) + 12

Multiply.

35 - 3 = 20 + 12

Add or subtract.

32 = 32

That checks out, so

$\large\boxed{n=5}$

Hope this helps!