Solve the Inequality for x -2x+8+5x>2x+1

$- 2 x + 8 + 5 x > 2 x + 1$

Add $- 2 x$ and $5 x$ .

$3 x + 8 > 2 x + 1$

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

Subtract $2 x$ from both sides of the inequality.

$3 x + 8 - 2 x > 1$

Subtract $2 x$ from $3 x$ .

$x + 8 > 1$

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

Subtract $8$ from both sides of the inequality.

$x > 1 - 8$

Subtract $8$ from $1$ .

$x > - 7$

The result can be shown in multiple forms.

Inequality Form:

$x > - 7$

Interval Notation:

$(- 7, \infty)$