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–(2 + 2x) – 2 > 6
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Distribute the negative first. combine like terms. get numerals on one side variables on the other.
\[–(2 + 2x) – 2 > 6\] first distribute to get \[-2-2x-2>6\]
okay that's what i got^
then combine like terms, i.e. write \[-2x-4>6\]
I got 2x>6
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oh no that is a mistake, lets go slow
forget about the inequality for the moment your first job is to take \(–(2 + 2x) – 2 \) and remove the parentheses using the distributive law, then combine like terms
\[-(2+2x)-2=-2-2x-2\] is a first step then since \(-2-2=-4\) you get \[-2x-4\]
now the inequality reads \[-2x-4>6\]
solve this in two steps : add \(4\) to both sides giving \(-2x>10\) then divide by \(-2\) and change the sense of the inequaltiy to finish with \[x<-5\]
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