Question

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

Explanation:

Step1: Distribute the 6

Multiply 6 with each term inside the parentheses: \( 6\times\frac{2}{3}x - 6\times4 + 4 > 5x - 12 \)
Simplify: \( 4x - 24 + 4 > 5x - 12 \)

Step2: Combine like terms

Simplify the left - hand side: \( 4x - 20 > 5x - 12 \)

Step3: Subtract 4x from both sides

\( 4x - 4x - 20 > 5x - 4x - 12 \)
Simplify: \( - 20 > x - 12 \)

Step4: Add 12 to both sides

\( - 20 + 12 > x - 12 + 12 \)
Simplify: \( - 8 > x \) or \( x < - 8 \)

Answer:

\( x < - 8 \)