What value of x makes (5x+12)^(1/3)=3 a true statement

[(5x + 12)^(1/3)]^3 = 3^3..............to undo 1/3 power raise to 3rd,
......................................… powers to powers multiply 1/3*3=1
5x + 12 = 27
5x = 15
x = 3

(5x+12)^(1/3)=3
1/3 ln(5x+12) = ln 3
ln(5x+12) = 3ln 3
ln(5x+12) = ln 3^3
ln(5x+12) = ln 27
5x+12 = 27
5x = 15
x = 3

5x+12=27
5x=15
x=3