Solve the equations below for x. Please show your math work step by step. Part (a): x+(-3)=7 Part (b): 2x-2=-12

Solve the equation for m. Please show your math work step by step.
2(m + 6) = 24

Mikey solved the inequality problem below incorrectly. Explain her error and redo the problem showing the correct answer.
Original problem: -4x+8<32
Mikey’s math work: -4x+8-8<32-8
-4x÷-4<24÷-4
x<-6