Question 100719
{{{7(x-3)>5x-14}}} Start with the given inequality


{{{7x-21>5x-14}}} Distribute




{{{7x>5x-14+21}}}Add 21 to both sides



{{{7x-5x>-14+21}}} Subtract 5x from both sides



{{{2x>-14+21}}} Combine like terms on the left side



{{{2x>7}}} Combine like terms on the right side



{{{x>(7)/(2)}}} Divide both sides by 2 to isolate x 



So our answer is {{{x>(7)/(2)}}}