11x-10x+2≤8+3x

Subtract 10x from 11x.

x+2≤8+3x

Subtract 3x from both sides of the inequality.

x+2-3x≤8

Subtract 3x from x.

-2x+2≤8

-2x+2≤8

Subtract 2 from both sides of the inequality.

-2x≤8-2

Subtract 2 from 8.

-2x≤6

-2x≤6

Divide each term in -2x≤6 by -2. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

-2x-2≥6-2

Cancel the common factor of -2.

Cancel the common factor.

-2x-2≥6-2

Divide x by 1.

x≥6-2

x≥6-2

Divide 6 by -2.

x≥-3

x≥-3

The result can be shown in multiple forms.

Inequality Form:

x≥-3

Interval Notation:

[-3,∞)

Solve for x 11x-10x+2<=8+3x