Sure, let's go through the inequality step by step and find the missing step.
Given the inequality:
[tex]\[ -2x - 14 > -4 + 3x \][/tex]
Step 1: Move all terms involving \( x \) to one side of the inequality.
[tex]\[ -2x - 3x - 14 > -4 \][/tex]
Thus, combining like terms:
[tex]\[ -5x - 14 > -4 \][/tex]
Step 2: Isolate \( x \) by adding 14 to both sides of the inequality.
[tex]\[ -5x - 14 + 14 > -4 + 14 \][/tex]
[tex]\[ -5x > 10 \][/tex]
Step 3: Divide both sides by -5. Remember, when you divide by a negative number, you need to reverse the inequality sign.
[tex]\[ x < -2 \][/tex]
So, the missing step in the given solution is:
[tex]\[ -5x > 10 \][/tex]
Therefore, the correct answer is:
[tex]\[ -5x > 10 \][/tex]
