Answer:
x = 5, and/or x= - 7/3
Explanation:
|x+1|=|2x+6|
We know eitherx+1=2x+6orx+1=−(2x+6)
x+1=2x+6(Possibility 1)
x+1−2x=2x+6−2x(Subtract 2x from both sides)
−x+1=6
−x+1−1=6−1 (Subtract 1 from both sides)
−x=5
(Divide both sides by -1)
x=−5
x+1=−(2x+6)(Possibility 2)
x+1=−2x−6(Simplify both sides of the equation)
x+1+2x=−2x−6+2x(Add 2x to both sides)
3x+1=−6
3x+1−1=−6−1(Subtract 1 from both sides)
3x=−7
Divide both sides by 3
x= −7 / 3
Check answers. (Plug them in to make sure they work.)
x=−5(Works in original equation)
x= −7/3
(Works in original equation)
Answer:
x=−5 or x= −7 / 3