It costs $100 to be a member of a music club. a member of the club pays $20 per music lesson. a nonmember pay $30 per music lesson. how many music lessons must a member and a nonmember take so the cost for each is the same?

Let x be amount of music lessons
Member ＝ 100 + 20x
Non member ＝ 30x
Must be same, so 100 + 20x ＝ 30x
Solve for x:
Group like terms.
100 ＝ 30x － 20x
100 ＝ 10x
100/10 ＝ x
x＝10
10 music lessons for member and non member to have same costs of $300.
Im not very good at maths. But this seems easy :D. I'm still a beginner, but please give me points.

Welp life just is hard