Subtraction property of equality and division property of equality are used.
Solution:
Given equation is 5x + 6 = –9.
To solve this equation using equality properties:
5x + 6 = –9
Subtract 6 from both sides by subtraction property of equality.
5x + 6 – 6 = –9 – 6
5x = –15
Divide by 5 on both sides by division property of equality.
[tex]$\frac{5x}{5} =\frac{-15}{5}[/tex]
x = –3
Hence the value of x is –3.
Subtraction property of equality and division property of equality are used.