[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex]\frac15 (4 - 3x) =\frac15 (3x - 4) \\ [/tex]
Cancel out 1/5 on both the sides.
[tex]4-3x=3x-4 [/tex]
Subtract 3x from both sides.
[tex]4-3x-3x=-4 [/tex]
Combine -3x and -3x to get -6x.
[tex]4-6x=-4 [/tex]
Subtract 4 from both sides.
[tex]-6x=-4-4 [/tex]
Subtract 4 from -4 to get -8.
[tex]-6x=-8 [/tex]
Divide both sides by -6.
[tex]x=\frac{-8}{-6} \\ [/tex]
Reduce the fraction -8/-6 to its lowest terms by extracting and cancelling out -2.
[tex] \huge \boxed{ \boxed{\bf \: x=\frac{4}{3} \approx 1.33 }}[/tex]