Answer: x>6
Step-by-step explanation:
Step 1: Simplify both sides of the inequality through the Distributive Property.
[tex]12x+8 < 15x-10[/tex]
Step 2: Subtract 15x from both sides.
[tex]12x+8-15x < 15x-10-15x\\-3x+8 < -10[/tex]
Step 3: Subtract 8 from both sides.
[tex]-3x+8-8 < -10-8\\-3x < -18[/tex]
Step 4: Divide both sides by -3 and flip the sign.
[tex]\frac{-3x}{-3} < \frac{-18}{-3} \\x > 6[/tex]
