Question

|6x|+3=21 solve for X (absolute value)​

Answer 1

`x=3` and
`x=-3`

Explanation:

`\left|6x\right|+3=21\\`

Subtract 3 to both sides:

`\left|6x\right|+3-3=21-3\\|6x|=18`

Apply the absolute rule: If |a| = b and b > 0, a = -b or a = b.

Thus,

Case 1:

`6x=18`

Divide both sides by 6:

`x=3`

Case 2:

`6x=-18`

Divide both sides by 6:

`x=-3`

Answer 2

`x=3\text{ or } x=-3`

Explanation:

So we have the equation:

`|6x|+3=21`

First, subtract 3 from both sides:

`|6x|=18`

Definition of absolute value:

`6x=18\text{ or } 6x=-18`

Divide both sides by 6 for both equations:

`x=3\text{ or } x=-3`

And we're done!