Question

-2+4(-5+2m)=5(4-2m)+5m

Answer 1

$-2+4(-5+2m)=5(4-2m)+5m\ \ \ \ |\text{use distributive property}\\\\-2+(4)(-5)+(4)(2m)=(5)(4)+(5)(-2m)+5m\\\\-2-20+8m=20-10m+5m\\\\(-2-20)+8m=20+(-10m+5m)\\\\-22+8m=20-5m\ \ \ \ |+22\\\\8m=42-5m\ \ \ \ \ \ |+5m\\\\13m=42\ \ \ \ \ |:13\\\\\boxed{m=4}$

Answer 2

$-2+4(-5+2m)=5(4-2m)+5m\\ \\ -2-20+8m=20-10m+5m\\ \\ -22+8m=20-5m\\ \\ -22-20=-5m-8m\\ \\ -42=-13m\\ \\ 4=m$

Hope that helps!