2<2x-6<8
Add 6 to each section of the inequality because it does not contain the variable we are trying to solve for.
2+6<2x<8+6
Add 2 and 6.
8<2x<8+6
Add 8 and 6.
8<2x<14
8<2x<14
Divide each term in the inequality by 2.
82<2×2<142
Divide 8 by 2.
4<2×2<142
Cancel the common factor.
4<2×2<142
Divide x by 1.
4<x<142
4<x<142
Divide 14 by 2.
4<x<7
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