Answer
$\{-3\}$.
Work Step by Step
Use distributive property.
$8x-2x-1=3x-10$
Simplify by combining like terms:
$6x-1=3x-10$
Add $-3x+1$ to both sides.
$6x-1-3x+1=3x-10-3x+1$
Simplify by combining like terms:
$3x=-9$
Divide both sides by $3$.
$\dfrac{3x}{3}=-\dfrac{9}{3}$
Simplify.
$x=-3$
Hence, the solution to the equation is $\{-3\}$.