Question

Solve for x -5+x/2=-9Simplify your answer as much as possible.

Answer 1

We want to find the solution for the following equation:

$-5+\frac{x}{2}=-9$

If we add the same values on both sides of the equation, the equality stays true. If we add 5 to both sides, we're going to have:

$\begin{gathered} -5+\frac{x}{2}+5=-9+5 \\ \frac{x}{2}+5-5=-4 \\ \frac{x}{2}=-4 \end{gathered}$

If we multiply both sides by the same constant, the equality also remains. Multiplying both sides by 2, we have our answer:

$\begin{gathered} 2\cdot\frac{x}{2}=2\cdot(-4) \\ x=-8 \end{gathered}$

And this is our solution

$x=-8$