Solve equations involving absolute values with calculations Precalculus

Solve the following equations.

\left| 2x \right|=\left| 2-3x \right|

x=2 and x= \dfrac{5}{2}

x=-2 and x = -\dfrac{2}{5}

x=2 and x=\dfrac{2}{5}

x=-2 and x= \dfrac{5}{2}

\left| x-2 \right|=\left| 1-4x \right|

x=-\dfrac13 and x=-\dfrac35

x=-\dfrac13 and x = \dfrac35

x=\dfrac13 and x=\dfrac35

x=\dfrac13 and x=-\dfrac35

\left| 2x-1 \right|=4

x=-\dfrac32 and x= \dfrac{5}{2}

x=-\dfrac32 and x=-\dfrac52

x=\dfrac32 and x=\dfrac{5}{2}

x=\dfrac32 and x= -\dfrac{5}{2}

|x-1| = |x+1|

x=\dfrac{1}{2}

x=0 and x = -\dfrac12

x=0 and x=\dfrac{1}{2}

x=0

|2x-1| = |4x-1|

x=\dfrac{1}{3}

x=0

x=0 and x=-\dfrac{1}{3}

x= 0 and x=\dfrac{1}{3}

|-2x+2| = -|x+4|

x=1 and x= 4

The equation has no solution.

x=1

x=4

|2x-3|=-1

The equation has no solution.

x=0 and x = 2

x=0

x=2