[tex] \frac{5x-9}{4} = -2[/tex]
Multiply both sides of the equation by 4.
[tex]5x - 9 = -8[/tex]
Add 9 to both sides of the equation.
[tex]5x = 1[/tex]
Divide by 5.
[tex]x = \frac{1}{5} [/tex] // answer
Check:
[tex]\frac{5( \frac{1}{5} ) - 9}{4} = -2[/tex]
[tex] \frac{-8}{4} = -2[/tex]
[tex]-2 = -2[/tex]
Therefore, the answer is correct.