solve for x: 2(x + 4) - 3x > 7.

Explanation:

Step1: Expand the left - hand side of the inequality

$$2(x + 4)-3x>7$$ $$2x+8 - 3x>7$$

Step2: Combine like terms

$$(2x-3x)+8>7$$ $$-x + 8>7$$

Step3: Subtract 8 from both sides

$$-x+8 - 8>7 - 8$$ $$-x>-1$$

Step4: Multiply both sides by - 1 and reverse the inequality sign

When multiplying both sides of an inequality by a negative number, the direction of the inequality sign changes. $$x < 1$$

Answer:

(x < 1)