x+5≤6x+20≤x+80

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

Subtract 6x from both sides of the inequality.

x+5-6x≤20

Subtract 6x from x.

-5x+5≤20

-5x+5≤20

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

Subtract 5 from both sides of the inequality.

-5x≤20-5

Subtract 5 from 20.

-5x≤15

-5x≤15

Divide each term by -5 and simplify.

Divide each term in -5x≤15 by -5. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

-5x-5≥15-5

Cancel the common factor of -5.

Cancel the common factor.

-5x-5≥15-5

Divide x by 1.

x≥15-5

x≥15-5

Divide 15 by -5.

x≥-3

x≥-3

x≥-3

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

Subtract x from both sides of the inequality.

6x+20-x≤80

Subtract x from 6x.

5x+20≤80

5x+20≤80

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

Subtract 20 from both sides of the inequality.

5x≤80-20

Subtract 20 from 80.

5x≤60

5x≤60

Divide each term by 5 and simplify.

Divide each term in 5x≤60 by 5.

5×5≤605

Cancel the common factor of 5.

Cancel the common factor.

5×5≤605

Divide x by 1.

x≤605

x≤605

Divide 60 by 5.

x≤12

x≤12

x≤12

Find the intersection of x≥-3 and x≤12.

-3≤x≤12

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