Question

$-4x + 3(x + 4)>x - 3$

Explanation:

Step1: Expand the left - hand side

$-4x+3x + 12>x - 3$

Step2: Combine like terms on the left - hand side

$(-4x + 3x)+12>x - 3$
$-x+12>x - 3$

Step3: Move x terms to one side

$-x - x>-3 - 12$

Step4: Combine like terms

$-2x>-15$

Step5: Solve for x (divide by - 2 and reverse the inequality sign)

$x < \frac{15}{2}$

Answer:

$x < \frac{15}{2}$