Answer
$x=-3$
Work Step by Step
On the left side of the equation, distribute $-$ (or subtraction) then combine like terms to obtain:
$$ 8x - (2x + 1) = 3x - 10\\8x - 2x -1 = 3x - 10\\
6x-1 = 3x - 10$$
Combine like terms by subtracting $3x$ to both sides first, then adding $1$ to both sides after:
$$
6x-1-3x = 3x - 10-3x\\
3x-1=-10\\
3x-1+1=-10+1\\
3x=-9
$$
Dividing both sides by $3$ gives:
$$x=-3$$