Question

6(\frac{2}{3}x - 4)+4 > 5x - 12

Explanation:

Step1: Expand the left - hand side

$6\times\frac{2}{3}x-6\times4 + 4>5x - 12$
$4x-24 + 4>5x - 12$
$4x-20>5x - 12$

Step2: Move the terms with $x$ to one side

$4x-5x>-12 + 20$

Step3: Simplify both sides

$-x>8$

Step4: Solve for $x$

Multiply both sides by - 1 and reverse the inequality sign. So $x < - 8$.

Answer:

$x < -4$