Answer: x= 6
Step-by-step explanation:
Given equation : [tex]\dfrac{2}{3}=\dfrac{8}{(x+6)}[/tex]
To solve the above equation, first we multiply 3(x+6) on both sides , then we get
[tex]3(x+6)\times\dfrac{2}{3}=3(x+6)\times\dfrac{8}{(x+6)}[/tex]
[tex]\Rightarrow\ (x+6)\times2=3\times8[/tex]
Using distribution property : [tex](b+c)a=ba+ca[/tex]
we get
[tex]\Rightarrow\ (x)(2)+(6)(2)=24[/tex]
[tex]\Rightarrow\ 2x+12=24[/tex]
Subtract 12 from both sides , we get
[tex]\Rightarrow\ 2x=12[/tex]
Divide both sides by 2 , we get
[tex]x=6[/tex]
Hence, the value of x= 6 .
