How do you solve this for x:

-3(4x - 1) < -2[4 + 8(x - 2)]

-3(4x - 1) < -2[4 + 8(x - 2)]

-3(4x - 1) < -2[4 + 8(x - 2)]

-12x + 3 < -2[4 + 8x - 16] {used distributive property}

-12x + 3 < 2(-12 + 8x) {combined like terms on right side}

-12x + 3 < -24 + 16x {used distributive property}

-12x < -27 + 16x {subtracted 3 from both sides}

-28x < -27 {subtracted 16x from both sides}

**x > 27/28**{divided both sides by -28 and changed the inequality sign}

*whenever you multiply or divide both sides of an inequality by a negative

number, you have to change the inequality sign*

*© Algebra House*