Solve for x.

Question

13(6x−9)=−33
(1 point)
Responses

x = -30
x = -30

x = -15
x = -15

x = -22
x = -22

x = -19

Answer 1

Let's solve the equation step by step:

13(6x−9)=−33

First, distribute the 13 into the parentheses:

13 * 6x - 13 * 9 = -33
78x - 117 = -33

Now, add 117 to both sides of the equation to isolate the term with x on one side:

78x - 117 + 117 = -33 + 117
78x = 84

Next, divide both sides by 78 to solve for x:

78x / 78 = 84 / 78
x = 84 / 78

Now, simplify the fraction by dividing both numerator and denominator by their greatest common divisor which is 6:

x = (84 / 6) / (78 / 6)
x = 14 / 13

So the simplified solution for x is:

x = 14 / 13

The options provided do not include the correct answer; the correct answer is x = 14 / 13.