SOLUTION: Looking for absolute value on both sides: 5/2 - x = 2 - x/2 The answer is 1,3 but I can't figure out how to do the problem to arrive at the answer. Any help is greatly

Question 62346: Looking for absolute value on both sides:
5/2 - x = 2 - x/2
The answer is 1,3 but I can't figure out how to do the problem to arrive at the answer. Any help is greatly appreciated!
Answer by joyofmath(189) (Show Source): You can put this solution on YOUR website!
.
The idea here is that if then either or . For example, because .
So, there are two equations to solve: and .
Let's solve the first one: .
Add x/2 to both sides: .
Subtract 2 from both sides: .
Multiply both sides by 2: so . That's the first answer.
Let's solve the second equation: .
First, let's simplify the right side of the equation: .
Add 2 to both sides of the equation: .
Add x to both sides of the equation: .
Multiply both sides of the equation by 2: sp which is the 2nd answer.
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