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Solve for x.

13(6x−9)=−33


(1 point)
Responses

x = -30
x = -30

x = -15
x = -15

x = -22
x = -22

x = -19
x = -19
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3 answers

To solve for \( x \) in the equation \( 13(6x - 9) = -33 \), follow these steps:

  1. Distribute the 13: \[ 13 \cdot 6x - 13 \cdot 9 = -33 \] This simplifies to: \[ 78x - 117 = -33 \]

  2. Add 117 to both sides: \[ 78x - 117 + 117 = -33 + 117 \] Which simplifies to: \[ 78x = 84 \]

  3. Divide both sides by 78: \[ x = \frac{84}{78} \] Simplifying \(\frac{84}{78}\) gives: \[ x = \frac{42}{39} = \frac{14}{13} \]

Thus, the solution is: \[ x = \frac{14}{13} \]

It seems that none of the provided options (-30, -15, -22, -19) is correct. If you have any further questions or need clarification, let me know!

That's wrong use the answer I gave you

Let's solve the equation again step by step and see if we arrive at one of the possible answers you provided.

The original equation is:

\[ 13(6x - 9) = -33 \]

  1. Distribute the 13 on the left-hand side:

\[ 78x - 117 = -33 \]

  1. Next, add 117 to both sides to isolate the term with \( x \):

\[ 78x - 117 + 117 = -33 + 117 \]

This simplifies to:

\[ 78x = 84 \]

  1. Now divide both sides by 78 to solve for \( x \):

\[ x = \frac{84}{78} \]

  1. Simplifying \( \frac{84}{78} \):

\[ x = \frac{42}{39} = \frac{14}{13} \]

Since this does not match the options provided (-30, -15, -22, -19), let’s check your original interpretation:

It seems you have chosen specific integer options as answers. However, based on the calculations, the value simplifies to approximately \( 1.08 \) (which is not one of the options). If the answers should correlate to earlier provided values, let’s ensure everything is clarified, or please let me know if there’s a specific interpretation or context you mean.

Feel free to guide me with any directives, or clarify further!