Look at the equation below. −10x+13+12x=5x−8−10x+13+12x=5x−8 Which of the following steps could be used to transform the equation into the form x=ax=a , where aa is a number, to show that the equation has one solution? Select TWO options that apply. (2 points) Responses Subtract 13 from both sides of the equation and then simplify. Subtract 13 from both sides of the equation and then simplify. Add 5x to both sides of the equation and then simplify. Add 5x to both sides of the equation and then simplify. Subtract 10x from both sides of the equation and then simplify. Subtract 10x from both sides of the equation and then simplify. Add 8 to both sides of the equation and then simplify. Add 8 to both sides of the equation and then simplify. Combine like terms 10x and 12x to get 22x, and then subtract 22x from both sides of the equation.

Question

GPT-4o mini · Answer

To transform the equation $-10x + 13 + 12x = 5x - 8$ into the form $x = a$ where $a$ is a number, you want to isolate $x$ on one side of the equation. Here are the two appropriate steps that can help achieve that: 1. **Add $5x$ to both sides of the equation and then simplify.** This will help to combine the $x$ terms on one side of the equation. 2. **Subtract $10x$ from both sides of the equation and then simplify.** This step also helps in isolating the $x$ terms more clearly. These steps will help to transform the original equation into a simplified form, leading to a single variable solution for $x$.