Question

​Solve for x.



−2(x+13)+9x=4 ​



​Enter your answer as a fraction in simplest form in the box.

x =

Answer 1

is it 7/30?

Answer 2

To solve the equation \(-2(x + 13) + 9x = 4\), we will first distribute and then combine like terms.

1. Distribute \(-2\) in the equation:

\[
-2 \cdot (x) - 2 \cdot (13) + 9x = 4
\]
\[
-2x - 26 + 9x = 4
\]

2. Combine like terms:

\[
(-2x + 9x) - 26 = 4
\]
\[
7x - 26 = 4
\]

3. Add \(26\) to both sides:

\[
7x - 26 + 26 = 4 + 26
\]
\[
7x = 30
\]

4. Divide both sides by \(7\):

\[
x = \frac{30}{7}
\]

Thus, the solution is:

\[
\boxed{\frac{30}{7}}
\]

Answer 3

No, the correct answer is \(\frac{30}{7}\), not \(\frac{7}{30}\).

To clarify:

Starting from the equation we solved:

\[
-2(x + 13) + 9x = 4
\]

After distributing and simplifying, we arrived at:

\[
7x = 30
\]

Dividing both sides by \(7\) gives \(x\) as:

\[
x = \frac{30}{7}
\]

So, the final answer remains:

\[
\boxed{\frac{30}{7}}
\]