10x−12−8x=4x+15

Question

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

(1 point)
Responses

Add 12 to both sides of the equation and then simplify
Add 12 to both sides of the equation and then simplify

Add 4x to both sides of the equation and then simplify
Add 4x to both sides of the equation and then simplify

Subtract 15 from both sides of the equation and then simplify
Subtract 15 from both sides of the equation and then simplify

Subtract 8x from both sides of the equation
Subtract 8x from both sides of the equation

Combine 10x and 8x to get 18x and then subtract 18x from both sides of the equation

Answer 1

To transform the equation \(10x - 12 - 8x = 4x + 15\) into the form \(x = a\), you can take the following steps:

1. Add 12 to both sides of the equation and then simplify: This will help eliminate the constant term on the left side.
2. Subtract 4x from both sides of the equation and then simplify: This will help to isolate the \(x\) terms on one side.

So the two selected options are:

• Add 12 to both sides of the equation and then simplify.
• Subtract 4x from both sides of the equation and then simplify.

Answer 2

subtracting 4 is not an option

Answer 3

Apologies for the oversight! Let's identify the correct steps based on the options provided.

Given the equation: \[ 10x - 12 - 8x = 4x + 15 \]

To simplify and solve for \(x\), here are the suitable steps from your provided options:

1. Add 12 to both sides of the equation and then simplify: This eliminates the -12 on the left and moves it to the right side.
2. Subtract 8x from both sides of the equation: This will help to combine the \(x\) terms and isolate \(x\).

So the two correct steps you can select are:

• Add 12 to both sides of the equation and then simplify.
• Subtract 8x from both sides of the equation.

Thank you for your patience, and I hope this helps clarify!