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

User Lionel Tay
by
8.4k points

2 Answers

3 votes

Answer:

x > -12

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

User Masashi M
by
8.4k points
3 votes

The answer is
x>-12

First you must use distributive property to simplify.


6x+18-2<8x+40

Then, you must subtract 18 on both sides


6x-2<8x+22

Next, add 2 on both sides


6x<8x+24

Then, subtract 8x on both sides


-2x<24

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

User Lmanners
by
8.2k points

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