Solve the following linear equation. Click Here for Help Video 29𝑥+5=−10\frac{2}{9}x+5=-10 9 2 ​ x+5=−10 𝑥 =x\ =x =

Answer 1

To solve the linear equation \( \frac{2}{9}x + 5 = -10 \), we can follow these steps:

1. Isolate the term with \( x \): Subtract 5 from both sides of the equation. \[ \frac{2}{9}x + 5 - 5 = -10 - 5 \] This simplifies to: \[ \frac{2}{9}x = -15 \]

2. Eliminate the fraction: Multiply both sides of the equation by \( \frac{9}{2} \) to solve for \( x \). \[ x = -15 \cdot \frac{9}{2} \]

3. Calculate the right side: \[ x = -15 \cdot \frac{9}{2} = -\frac{135}{2} \]

So, the solution is: \[ x = -\frac{135}{2} \]

In decimal form, this can be expressed as: \[ x = -67.5 \]

Thus, the final answer is: \[ x = -\frac{135}{2} \quad \text{or} \quad x = -67.5 \]