1/2|0,5-2x|-1/3|0,5-2x|=1/3. (| - это модуль числа)

[latex] \frac{1}{2}|0,5-2x|- \frac{1}{3}|0,5-2x|= \frac{1}{3} [/latex] [latex]|0,5-2x|*( \frac{1}{2}- \frac{1}{3)} = \frac{1}{3} [/latex] [latex] \frac{1}{6}|0,5-2x|= \frac{1}{3} [/latex] [latex]|0,5-2x|= \frac{1}{3}: \frac{1}{6}=2 [/latex] [latex] \left \{ {{0,5-2x=2} \atop {0,5-2x=-2}} \right. [/latex] [latex] \left \{ {{-2x= \frac{3}{2} } \atop {-2x=- \frac{5}{2} }} \right. [/latex] [latex] \left \{ {{x= -\frac{3}{4} } \atop {x= \frac{5}{4} }} \right. [/latex]