Factor -4(x+1)+6x

$- 4 (x + 1) + 6 x$

Factor $- 2$ out of $- 4 (x + 1) + 6 x$ .

Factor $- 2$ out of $- 4 (x + 1)$ .

$- 2 (2 (x + 1)) + 6 x$

Factor $- 2$ out of $6 x$ .

$- 2 (2 (x + 1)) - 2 (- 3 x)$

Factor $- 2$ out of $- 2 (2 (x + 1)) - 2 (- 3 x)$ .

$- 2 (2 (x + 1) - 3 x)$

$- 2 (2 (x + 1) - 3 x)$

Apply the distributive property.

$- 2 (2 x + 2 \cdot 1 - 3 x)$

Multiply $2$ by $1$ .

$- 2 (2 x + 2 - 3 x)$

Subtract $3 x$ from $2 x$ .

$- 2 (- x + 2)$

Factor.

Factor $- 1$ out of $- x + 2$ .

Factor $- 1$ out of $- x$ .

$- 2 (- (x) + 2)$

Rewrite $2$ as $- 1 (- 2)$ .

$- 2 (- (x) - 1 (- 2))$

Factor $- 1$ out of $- (x) - 1 (- 2)$ .

$- 2 (- (x - 2))$

$- 2 (- (x - 2))$

Remove unnecessary parentheses.

$- 2 \cdot - 1 (x - 2)$

$- 2 \cdot - 1 (x - 2)$

Combine exponents.

Factor out negative.

$- (- 2 (x - 2))$

Multiply $- 2$ by $- 1$ .

$2 (x - 2)$

$2 (x - 2)$

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