Question

How do you solve `abs(6-2x)=24`?

Answer 1

`x=27`, `x=21`

Explanation:

Absolute value rule
`\abs{a+b}=x` means that `a+b=\pmx`; or:
`a+b=x` and `a+b=-x`

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• Applying this to your equation `\abs{6-2x}=24`...
  `6-2x=\pm24`
• Isolating the variable `-2x=-6\pm24`
  `\rArr x=(-6\pm24)/-2\rArr 3\pm24`
• Now splitting up `3+24=27` and `3-24=21`

Therefore, `x=27` and `x=21`

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Confused? Here is a video on absolute values...
Khan Academy video