Algebra Examples

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

Step 1

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

$3 x + 8 > 2 x + 1$

Step 2

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

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Step 2.1

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

$3 x + 8 - 2 x > 1$

Step 2.2

Subtract $2 x$ from $3 x$ .

$x + 8 > 1$

Step 3

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

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Step 3.1

Subtract $8$ from both sides of the inequality.

$x > 1 - 8$

Step 3.2

Subtract $8$ from $1$ .

$x > - 7$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x > - 7$

Interval Notation:

$(- 7, \infty)$