Question

An equation is shown below: 6(2x-11)+15=21

Answer 1

Hello!

To solve, we want to isolate the x on one side of the equation. We can use inverse operations to put numbers on the other side to find x.

First we undistribute our parentheses.

12x-66+15=21

We subtract 15 from both sides (it cancels out the 15 on the left side, making it 0).

12x-66=6

Now we add 66 to both sides, as -66+66=0

12x=72

Finally, we divide both sides by 12.

x=6

I hope this helps!

Answer 2

To solve any algebraic equation, we need to get x by itself. The first step to doing that is doing the multiplication (since we can't simplify the parenthesis any further, and because there are no exponents).

Simplifying the parenthesis gives us:

12x - 66 + 15 = 21

Now we want to get all terms with x on one side and all the numbers on the other.

12x = 21 + 66 - 15

12x = 72

Now we want to get x by itself (meaning that we want to get a single x). We can do that by dividing both sides by the number in front of x.

12/12x = 72/12

x = 6