Solve for x 2x+3<=x-5

$2 x + 3 \leq x - 5$

Step 1

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

Subtract $x$ from both sides of the inequality.

$2 x + 3 - x \leq - 5$

Subtract $x$ from $2 x$ .

$x + 3 \leq - 5$

Step 2

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

Subtract $3$ from both sides of the inequality.

$x \leq - 5 - 3$

Subtract $3$ from $- 5$ .

$x \leq - 8$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x \leq - 8$

Interval Notation:

$(- \infty, - 8]$