Answer:
x=13
Step-by-step explanation:
we have
[tex]\frac{1}{6}x-\frac{1}{6}-\frac{2}{9}x-1\frac{1}{9}=-2[/tex]
Convert mixed number to an improper fraction
[tex]1\frac{1}{9}=1+\frac{1}{9}=\frac{9*1+1}{9}=\frac{10}{9}[/tex]
substitute in the equation
[tex]\frac{1}{6}x-\frac{1}{6}-\frac{2}{9}x-\frac{10}{9}=-2[/tex]
Find out the LCM of 6 and 9
LCM=18
Multiply by 18 both sides to remove the fractions (multiplication property of equality)
[tex](18)\frac{1}{6}x-(18)\frac{1}{6}-(18)\frac{2}{9}x-(18)\frac{10}{9}=-2(18)[/tex]
[tex]3x-3-4x-20=-36[/tex]
Combine like terms left side
[tex]-x-23=-36[/tex]
[tex]x=36-23\\x=13[/tex]
