Answer
$x=30$
Work Step by Step
$x-\dfrac{1}{3}x-\dfrac{1}{2}x-5=0$
Let's multiply the whole equation by the least common multiple of $3$ and $2$, that are the denominators present in the equation.
We will do this to avoid working with fractions
$LCM(3,2)=6$
$(x-\dfrac{1}{3}x-\dfrac{1}{2}x-5=0)(6)$
$6x-6(\dfrac{1}{3}x)-6(\dfrac{1}{2}x)-30=0$
$6x-2x-3x-30=0$
Simplify like terms and solve for $x$:
$6x-2x-3x=30$
$x=30$
