Solve for x -2<=2(x-4)<=6

Math
-2≤2(x-4)≤6
Apply the distributive property.
-2≤2x+2⋅-4≤6
Multiply 2 by -4.
-2≤2x-8≤6
Move all terms not containing x from the center section of the inequality.
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Add 8 to each section of the inequality because it does not contain the variable we are trying to solve for.
-2+8≤2x≤6+8
Add -2 and 8.
6≤2x≤6+8
Add 6 and 8.
6≤2x≤14
6≤2x≤14
Divide each term in the inequality by 2.
62≤2×2≤142
Divide 6 by 2.
3≤2×2≤142
Cancel the common factor of 2.
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Cancel the common factor.
3≤2×2≤142
Divide x by 1.
3≤x≤142
3≤x≤142
Divide 14 by 2.
3≤x≤7
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Solve for x -2<=2(x-4)<=6

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