​Solve for x.

Question

−2(x+13)+9x=4 ​



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

x =

Answer 1

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 2

is it 7/30?

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:

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