Is 4 (2x + 3) = (2x - 2) + 2 (3x + 7) a no solution equation or one solution equation?

Need on this geometry question. explain how you did it.

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem

What is the missing reason in the proof? segment addition congruent segments theorem transitive property of equality subtraction property of equality?