Final answer:
To solve the equation -9 + x / -2 = -13 for x, we multiply both sides of the equation by -2 to get rid of the fraction. Then, we subtract 18 from both sides of the equation to isolate x. Finally, we multiply both sides of the equation by -1 to make x positive.
Step-by-step explanation:
To solve the equation -9 + x / -2 = -13 for x, we need to isolate x. We can begin by multiplying both sides of the equation by -2 to get rid of the fraction: -2(-9 + x / -2) = -2(-13). This simplifies to 18 - x = 26.
Next, we can subtract 18 from both sides of the equation to isolate x: 18 - x - 18 = 26 - 18. This simplifies to -x = 8.
To find the value of x, we can multiply both sides of the equation by -1 to make x positive: -1(-x) = -1(8), which simplifies to x = -8.