Please help me solve this problem ASAP Luca incorrectly solved the rational equation x−5−3+x=2x+2 as shown.

Step 1:2x−5−3=2x+2
Step 2:−6=2x2−x−10
Step 3:0=2x2−x−4
Step 4:x=−(−1)±(−1)2−4(2)(−4)√2(2)
Step 5:x=14+33√4 or x=14−33√4

Part A: What was Luca's first mistake?

Part B: What are the actual solutions to the rational equation?

Select one answer for Part A, and select all answers that apply to Part B.

A: He combined the terms on the left side of the equation incorrectly in Step 1.
A: He substituted in the quadratic formula incorrectly in Step 4.
A: He used the Distributive Property incorrectly when cross multiplying in Step 2.

A: He simplified the quadratic formula incorrectly in Step 5.
A: He used the Subtraction Property of Equality incorrectly in Step 3.
B: 4
B: −12
B: 12
B: 10
B: −10
B: −4
B: 1