What is a step that can be used to transform the equation into the form x = a, where z is a number, to show that the equation has one solution? Select TWO options that apply:

Question

What is a step that can be used to transform the equation into the form x = a, where z is a number, to show that the equation has one solution? Select TWO options that apply:
10x - 12 - 8x = 4x + 15
A. Subtract 8x from both sides of the equation
B. Add 12 to both sides of the equation and then simplify
C. add 4x to both sides of the equation and then simplify
D. Subtract 15 from both sides of the equation and then simplify
E. Combine 10x and 8x to get 18x and then subtract 18x from both sides of the equation

GPT-4o mini · Answer

To transform the equation $10x - 12 - 8x = 4x + 15$ into the form $x = a$ and show that the equation has one solution, we can choose the following steps: **A. Subtract 8x from both sides of the equation** This will simplify the left side of the equation, leading to a simpler expression involving $x$. **D. Subtract 15 from both sides of the equation and then simplify** This will help to isolate the variable further and simplify the equation. So, the two applicable options are A and D.