Question

6(x + 3) - 2 < 8(x + 5)

Answer 1

Answer:

x > -12

Step-by-step explanation:

6(x + 3) - 2 < 8(x + 5)

Distribute;

6x + 18 - 2 < 8x + 40

6x + 16 < 8x + 40

Subtract 8x from both sides;

-2x + 16 < 40

Subtract 16 from both sides;

-2x < 24

Divide both sides by -2

x > -12

The sign changes when it is divided by a negative number

Answer 2

The answer is $x>-12$

First you must use distributive property to simplify.

$6x+18-2$

Then, you must subtract 18 on both sides

$6x-2$

Next, add 2 on both sides

$6x$

Then, subtract 8x on both sides

$-2x$

Finally, Divide both sides by -2. Don't forget to switch the equality sign because the variable was changed to a positive using division.

$x>-12$