Question

-(5x − 2) > 12 − 10x, when solved for x is:

Answer 1

x>2

Explanation:

Distribute:

-5+2>12-10x

Rearrange:

-5x+2>-10x+12

Subtract 2 from both sides:

-5x+2-2>-10x+12-2

Add 10x:

-5x+10x>-10x+10+10x

Divide both sides:

5x/5>10/5

Simplify:

x>2

Answer 2

x > 2

Explanation:

Use the distributive property to simplify.

-5x + 2 > 12 - 10 x

Add 10x on both sides.

-5x + 10x + 2 > 12 - 10x + 10 x

Combine like terms.

5x + 2 > 12

Subtract 2 on both sides.

5x + 2 - 2 > 12 - 2

Combine like terms.

5x > 10

Divide by 5 on both sides.

`(5x)/(5) > (10)/(5)`

Simplify.

x > 2