Answer
$2$
Work Step by Step
Multiply by 18 (the LCD of the two fractions) on both sides of the equation to obtain:
$18(\frac{2x}{3}) = 18(\frac{x}{6}+1)
\\\frac{36x}{3} = \frac{18x}{6} + 18
\\12x = 3x+18$
Subtract $3x$ on both sides of the equation to obtain:
$9x=18$
Divide by 9 on both sides of the equation to obtain:
$x = \frac{18}{9}
\\x=2$
