Solve the following linear equation.

Question

2/9x+10=-9

Answer 1

To solve the linear equation \( \frac{2}{9}x + 10 = -9 \), we can follow these steps:

1. Isolate the term with \( x \) by subtracting 10 from both sides of the equation:

   \[ \frac{2}{9}x + 10 - 10 = -9 - 10 \] \[ \frac{2}{9}x = -19 \]

2. Eliminate the fraction by multiplying both sides of the equation by \( \frac{9}{2} \):

   \[ x = -19 \cdot \frac{9}{2} \]

3. Calculate the right side:

   \[ x = \frac{-171}{2} \] \[ x = -85.5 \]

Thus, the solution to the equation \( \frac{2}{9}x + 10 = -9 \) is

\[ \boxed{-85.5} \]