Answer:
x > -2
Step-by-step explanation:
First, you simplify both sides of the inequality by combining like terms
[tex]-8x + 2x -16 < -5x + 7x[/tex]
[tex]-6x - 16 < 2x[/tex]
Then, you add 6x to both sides in order to isolate x (bring all the Xs to one side)
[tex]-6x - 16 + 6x < 2x + 6x[/tex]
[tex]-16 < 8x[/tex]
Lastly, you divide by 8 in order to cancel out 8x solve for x. Since 8 is not a negative number, you DO NOT flip the sign.
[tex]\frac{-16}{8} < \frac{8x}{8}[/tex]
[tex]-2 < x[/tex]
