Question

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:
\[
x = -\frac{135}{2} \quad \text{or} \quad x = -67.5
\]