Inequality

\(\frac{\left(-2x-12\right)}{2}>7\left(3-4x\right)\)

\(\mathrm{Multiply\:both\:sides\:by\:}2\)

\(\frac{-2x-12}{2}\cdot \:2>7\left(3-4x\right)\cdot \:2\)

\(-2x-12>14\left(3-4x\right)\)

\(-2x-12>42-56x\)

\(\mathrm{Add\:}12\mathrm{\:to\:both\:sides}\)

\(-2x-12+12>42-56x+12\)

\(Simplify\)

\(-2x>-56x+54\)

\(\mathrm{Add\:}56x\mathrm{\:to\:both\:sides}\)

\(-2x+56x>-56x+54+56x\)

\(Simplify \)

\(54x>54\)

\(\mathrm{Divide\:both\:sides\:by\:}54\)

\(\frac{54x}{54}>\frac{54}{54}\)

\(Simplify\)

\(x>1\)

-Vinculum