Solve for x x+5<=6x+20<=x+80

Math
x+5≤6x+20≤x+80
Solve x+5≤6x+20 for x.
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Move all terms containing x to the left side of the inequality.
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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.
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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.
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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.
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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
Solve 6x+20≤x+80 for x.
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Move all terms containing x to the left side of the inequality.
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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.
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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.
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Divide each term in 5x≤60 by 5.
5×5≤605
Cancel the common factor of 5.
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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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Solve for x x+5<=6x+20<=x+80

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