Question 278253


{{{6x+2>2(2x+9)}}} Start with the given inequality.



{{{6x+2>4x+18}}} Distribute.



{{{6x>4x+18-2}}} Subtract {{{2}}} from both sides.



{{{6x-4x>18-2}}} Subtract {{{4x}}} from both sides.



{{{2x>18-2}}} Combine like terms on the left side.



{{{2x>16}}} Combine like terms on the right side.



{{{x>(16)/(2)}}} Divide both sides by {{{2}}} to isolate {{{x}}}. 



{{{x>8}}} Reduce.



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Answer:


So the solution is {{{x>8}}}