Solve the inequality. \( 8 x-10>12 x-2 \)

To solve the inequality \( 8x - 10 > 12x - 2 \), start by isolating \( x \). Subtract \( 8x \) from both sides: \[ -10 > 4x - 2 \] Next, add \( 2 \) to both sides: \[ -8 > 4x \] Now, divide by \( 4 \) (remember to flip the inequality sign because we are dividing by a positive number): \[ -2 > x \] This can also be rewritten as \( x < -2 \). So the solution to the inequality is \( x < -2 \).