Answer:
[tex]a=6[/tex]
Step-by-step explanation:
[tex]-8+\sqrt{(5a-5)}=-3[/tex]
Adding 8 both sides.
[tex]8-8+\sqrt{(5a-5)}=-3+8[/tex]
[tex]\sqrt{(5a-5)}=5[/tex]
Squaring both sides.
[tex](\sqrt{(5a-5)})^2=5^2[/tex]
[tex]5a-5=25[/tex]
Adding 5 both side.
[tex]5a-5+5=25+5[/tex]
[tex]5a=30[/tex]
Dividing by 5 both sides.
[tex]\frac{5a}{5}=\frac{30}{5}[/tex]
∴ [tex]a=6[/tex]
