Final answer:
Ms. Burton's first error occurs in Step 1 when incorrectly distributing 2/3 acoss the parentheses. The correct distribution should result in 4x = -4/3 + 2/3x.
Step-by-step explanation:
The student's question involves identifying the step in which an error first occurs in solving a linear equation. After reviewing the steps provided, it appears that Ms. Burton's first error is made in Step 1 where she distributes the 2/3 incorrectly across the parentheses. Instead of 4x = -4/3 + x, it should be 4x = -4/3 + 2/3x after proper distribution. Clearly, in the student's context, Ms. Burton should be approaching the equation 4x = 2/3(-2+x) with care to distribute correctly. When solving linear equations, it's crucial to apply the distributive property accurately to help isolate the variable and solve for x.