Graph 2-(x+3)<4-2x

$2 - (x + 3) < 4 - 2 x$

Simplify $2 - (x + 3)$ .

Simplify each term.

Apply the distributive property.

$2 - x - 1 \cdot 3 < 4 - 2 x$

Multiply $- 1$ by $3$ .

$2 - x - 3 < 4 - 2 x$

Subtract $3$ from $2$ .

$- x - 1 < 4 - 2 x$

Move all terms containing $x$ to the left side of the inequality.

Add $2 x$ to both sides of the inequality.

$- x - 1 + 2 x < 4$

Add $- x$ and $2 x$ .

$x - 1 < 4$

Move all terms not containing $x$ to the right side of the inequality.

Add $1$ to both sides of the inequality.

$x < 4 + 1$

Add $4$ and $1$ .

$x < 5$