Question

Consider the steps James uses to solve the equation 2(x – 10) = 24. Equation: 2(x - 10) = 24 Step 1: 2x - 10 = 24 Step 2: 2x = 34 Step 3: x = 17 In which step, if any, did James make an error? A. Step 1 B. Step 2 C. Step 3 D. James did not make an error.

Answer 1

In the steps that James uses to solve the given equation he made a mistake:

We have:

`2\cdot(x-10)=24\Rightarrow2x-20=24`

James needed to apply the distributive property in the first step. However, he did not.

Therefore, James made an error in Step 1, that is, option A.