Conjectures math statement 2(x^2+5)=60 what is the reason? 2x^2+10=60 what is the reason? 2x^2=50 what is the reason? x^2=25 what is the reason? x=+ minus 5.

2(x^2+5)=60 to 2x^2+10=60
distributive property (a(b+c)=ab+ac)

2x^2+10=60 to 2x^2=50
property of equality or something like thht (a=a and b=b, so a-b=a-b) and also
 addative inverse (a+-a=0) (added -10 to both sides)

2x^2=50 to x^2=25
propery of euality and multiplicative inverse (a times 1/a=1) and one produce property (1 times a=a)

x^2=25 to x=+/-5
property of equality and something else