Question

13(3+2x)−1=10

choose one of the answers below

(A). x = 5

(B). x = 6 2/3

(C). x = 15

(D). x = 20

Answer 1

choose one of the answers that are closest to the correct answer

Answer 2

Let's solve the equation \( 13(3 + 2x) - 1 = 10 \).

1. First, distribute the 13:
\[
13 \cdot 3 + 13 \cdot 2x - 1 = 10
\]
\[
39 + 26x - 1 = 10
\]

2. Combine like terms:
\[
38 + 26x = 10
\]

3. Subtract 38 from both sides:
\[
26x = 10 - 38
\]
\[
26x = -28
\]

4. Divide by 26:
\[
x = -\frac{28}{26} = -\frac{14}{13}
\]

Now let's see if any of the options provided are correct. None of the options A, B, C, or D are equal to \(-\frac{14}{13}\).

Based on the calculations, it seems that none of the provided answer options is correct. If you have a different equation or need any further assistance, please let me know!

Answer 3

The solution we found is \( x = -\frac{14}{13} \), which is approximately \(-1.08\).

Now, let's compare this value to the provided options:

(A). \( x = 5 \)

(B). \( x = 6 \frac{2}{3} \) (which is approximately \( 6.67 \))

(C). \( x = 15 \)

(D). \( x = 20 \)

Clearly, among the options given, \( -\frac{14}{13} \) is closest to \( x = 5 \), as it is much less than the other options.

**Therefore, the closest option is (A) \( x = 5 \).**