Question

Solve the equation.

3(x−9)=30

Answer 1

x = 19

Explanation:

First, we must distribute 3(x-9) = 30

`3x - 27 = 30`

Now, that we've distributed this equation, we can proceed.

Secondly, since there is a subtraction sign in front of 27, we must do the opposite, addition.

Add 27 to 27 and 30:

`3x - 27 = 30`

`-27 + 27 = 0`

`30 + 27 = 57`

Furthermore, -27 + 27 is 0, so it cancels itself out. Also, since we added 30 and 27 and got 57, replace 30 with 57.

`3x = 57`

Lastly, divide 57 by the number in front of coefficient, 3.

`57/3=19`

Therefore,
`x=19.`

**TO MAKE THIS MORE UNDERSTANDING, THIS IS HOW YOUR EQUATION SHOULD LOOK WHILE SOLVING**

Answer 2

x = 19

Explanation:

3(x - 9) = 30

Divide both sides by 3 to isolate the binomial.

x - 9 = 10

Add 9 to both sides to isolate x.

x = 19

Check your answer by plugging x = 19 back into the equation.

3(x - 9) = 30

3(19 - 9) = 30

Subtract.

3(10) = 30

Multiply.

30 = 30

Your answer is correct.

Hope this helps!