Question

Lance is solving the equation 2(2x + 1) - (3x - 5) = 17. His steps are shown below: Step 1: 4x + 2 - (3x - 5) = 17 Step 2: 4x + 2 - 3x - 5 = 17 Step 3: x + 2 - 5 = 17 Step 4: x - 3 = 17 Did Lance make a mistake? If so, in which step did he make the mistake and what was his mistake?

Answer 1

Lance made a mistake

His mistake was in step 2

Explanation:

Yes, Lance made a mistake.

He made a mistake in step 2 of his solution.

The mistake he made was that he was supposed to open the bracket of -(3x-5) to give -3x + 5

The 5 is supposed to have a positive value and not a negative