Equations with Absolute Values: Absolute value on both sides of the equation

Examples with solutions for Equations with Absolute Values: Absolute value on both sides of the equation

Exercise #1

2x6=x+4 |2x-6|=|-x+4|

Video Solution

Answer

x=313 x=3\frac{1}{3} , x=2 x=2

Exercise #2

x1=2x+3 |x-1|=|2x+3|

Video Solution

Answer

x=4 x=-4 , x=23 x=-\frac{2}{3}

Exercise #3

x+2=x2 |x+2|=|x-2|

Video Solution

Answer

x=0 x=0

Exercise #4

x+3=2x+6 |x+3|=|2x+6|

Video Solution

Answer

x=3 x=-3

Exercise #5

x+4=2x+20 |x+4|=|2x+20|

Video Solution

Answer

x=8 x=-8 , x=16 x=-16

Exercise #6

x+6=3x2 |-x+6|=|3x-2|

Video Solution

Answer

x=2 x=-2 , x=2 x=2