Hello what is 6n-12=n+3

Question

I really need help l don't know how to do this.

Answer 1

Both sides of the equal sign will remain equal as long as we add, subtract, multiply, or divide both sides by the same value. So in this case, we need to get one side of the equation to have only "n." To start, we can add both sides by 12:

6n - 12 = n + 3

6n - 12 + 12 = n + 3 + 12

On the left side, the -12 + 12 cancels out and on the right side 12 + 3 = 15 so we end up with:

6n + 0 = n + 15

6n = n + 15

Next, we can subtract both sides by "n" so that we eliminate it from the right side:

6n - n = n - n + 15

5n = 0 + 15

5n = 15

Finally, we can divide both sides of the equation by 5 to solve for n:

5n/5 = 15/5

When we divide 5n by 5 the 5's will cancel and dividing 15 by 5 is 3 so we end up with:

n = 3