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