Inequalities Involving Modulus

If $\left|x^2-2x+2\right|-\left|2x^2-5x+2\right|=\left|x^2-3x\right|$, then the set of values of $x$ is

Complete set of values of $x$ satisfying inequality $\left|\left|x-1\right|-5\right|<2x-5$ is

If $-4\le x<2$, then $\left|\left|x+2\right|-3\right|$ lies in the interval

Number of integral values of $x$ satisfying the inequality $\frac{x^2+6x-7}{\left|x+2\right|\left|x+3\right|}<0$ is

The solution set of the inequality $\frac{\left|x+2\right|-x}{x}<2$ is