-2≤2(x-4)≤6

Apply the distributive property.

-2≤2x+2⋅-4≤6

Multiply 2 by -4.

-2≤2x-8≤6

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.

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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