Answer: x=-3/2
Solve Absolute Value.
|5x−10|=|5x+25|
We know either5x−10=5x+25or5x−10=−(5x+25)
5x−10=5x+25(Possibility 1)
5x−10−5x=5x+25−5x(Subtract 5x from both sides)
−10=25
−10+10=25+10(Add 10 to both sides)
0=35
5x−10=−(5x+25)(Possibility 2)
5x−10=−5x−25(Simplify both sides of the equation)
5x−10+5x=−5x−25+5x(Add 5x to both sides)
10x−10=−25
10x−10+10=−25+10(Add 10 to both sides)
10x=−15
10x
10
=
−15
10
(Divide both sides by 10)
x=
−3
2
Check answers. (Plug them in to make sure they work.)
x=
−3
2
(Works in original equation)
Answer:
x=
−3
2
Clear Absolute Value Equation
Explanation: