Question

An equation is shown below.

x - 4 = 2(1 - x )
5 5


Which of the following statements describes a step that can be used to find the value of x? (choose 2)
Responses

A Divide both sides of the equation by 5.Divide both sides of the equation by 5.

B Add like terms on the right side of the equation.Add like terms on the right side of the equation.

C Use the distributive property to expand the right side of equation. Use the distributive property to expand the right side of equation.

D Subtract 4 from both sides of the equation.Subtract 4 from both sides of the equation.

E Add 4 to both sides of the equation.

Answer 1

To solve the equation

\[
\frac{x - 4}{5} = 2(1 - x),
\]

we can follow these steps:

1. **C: Use the distributive property to expand the right side of the equation.**
This step involves distributing the \(2\) across \((1 - x)\).

2. **E: Add 4 to both sides of the equation.**
This can be done after simplifying the right side, in order to isolate \(x\).

So, the two statements that describe steps that can be used to find the value of \(x\) are **C** and **E**.