When solving 4|2x - 4| - 5 = 59, Where the x= 6 comes from in this problem?
Absolute value equations mean that we want to know how far a number is from 0 and not whether that number is positive or negative. When solving an equation with absolute value, we use brackets to denote that the section bracketed is a count and that the solution for x could be positive or negative.
Answer and Explanation:
To solve 4|2x-4|-5=59 let's first simplify the statement before solving the absolute value:
- 4|2x-4| - 5 = 59
- 5 + 4|2x-4|-5=59 + 5
- 4|2x - 4| = 64
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from Math 101: College AlgebraChapter 2 / Lesson 5