Factor x(2a+b+c)-2a-b-c

$x (2 a + b + c) - 2 a - b - c$

Regroup terms.

$x (2 a + b + c) - 2 a - b - c$

Factor $- 1$ out of $- 2 a - b - c$ .

Factor $- 1$ out of $- 2 a$ .

$x (2 a + b + c) - (2 a) - b - c$

Factor $- 1$ out of $- b$ .

$x (2 a + b + c) - (2 a) - (b) - c$

Factor $- 1$ out of $- c$ .

$x (2 a + b + c) - (2 a) - (b) - (c)$

Factor $- 1$ out of $- (2 a) - (b)$ .

$x (2 a + b + c) - (2 a + b) - (c)$

Factor $- 1$ out of $- (2 a + b) - (c)$ .

$x (2 a + b + c) - (2 a + b + c)$

Factor $2 a + b + c$ out of $x (2 a + b + c) - (2 a + b + c)$ .

Factor $2 a + b + c$ out of $x (2 a + b + c)$ .

$(2 a + b + c) x - (2 a + b + c)$

Factor $2 a + b + c$ out of $- (2 a + b + c)$ .

$(2 a + b + c) x + (2 a + b + c) \cdot - 1$

Factor $2 a + b + c$ out of $(2 a + b + c) x + (2 a + b + c) \cdot - 1$ .

$(2 a + b + c) (x - 1)$