| $$(a)\ |x|=7$$ | $$(b)\ |x-1|=3$$ |
| $$(c)\ |x+4|=1$$ | $$(d)\ |x+2|=7$$ |
| $$(e)\ |x+\pi|=6$$ | $$(f)\ |6-x|=2$$ |
| $$(g)\ |x-\sqrt{3}+1|=2-\sqrt{3}$$ | $$(h)\ |4x-7|=-1$$ |
| $$(a)\ x\in\{\pm7\}$$ | $$(b)\ x\in\{-2;4\}$$ |
| $$(c)\ x\in\{-5;-3\}$$ | $$(d)\ x\in\{-9;5\}$$ |
| $$(e)\ x\in\{-6-\pi;6-\pi\}$$ | $$(f)\ x\in\{4;8\}$$ |
| $$(g)\ x\in\{1;2\sqrt{3}-3\}$$ | $$(h)\ x\in\varnothing$$ |
| $$(a)\ |3x-1|+5=3$$ | $$(b)\ |5-3x|=7$$ |
| $$(c)\ |2x-4|=0$$ | $$(d)\ |7x+2|=10$$ |
| $$(e)\ 2|x-1|-6=0$$ | $$(f)\ 2|-2x-2|=16$$ |
| $$(a)\ x\in\varnothing$$ | $$(b)\ x\in\left\{-\frac{2}{3};4\right\}$$ |
| $$(c)\ x\in\left\{2\right\}$$ | $$(d)\ x\in\left\{-\frac{12}{7};\frac{8}{7}\right\}$$ |
| $$(e)\ x\in\left\{-2;4\right\}$$ | $$(f)\ x\in\left\{-5;3\right\}$$ |
| $$(a)\ |2x-3|=x$$ | $$(b)\ |2x+3|-3x=5$$ |
| $$(c)\ |x+1|=2x$$ | $$(d)\ |x-2|=2x-3$$ |
| $$(e)\ |3x+2|=4x+5$$ | $$(f)\ |2x+1|=x+5$$ |
| $$(g)\ |x-2|=3x+1$$ | $$(h)\ |4x+3|=3-x$$ |
| $$(i)\ |x-7|=x-7$$ | $$(j)\ |8-5x|=5x-8$$ |
| $$(k)\ |x-1|=2x+1$$ | $$(l)\ |3x+1|=2x+3$$ |
| $$(m)\ x-7=|2x-1|$$ | $$(n)\ |x+1|=1-x$$ |
| $$(o)\ |7+3x|=11-x$$ | $$(p)\ |3x-10|=x+6$$ |
| $$(a)\ x\in\{1;3\}$$ | $$(b)\ x\in\left\{-\frac{8}{5}\right\}$$ |
| $$(c)\ x\in\{1\}$$ | $$(d)\ x\in\left\{\frac53\right\}$$ |
| $$(e)\ x\in\{-1\}$$ | $$(f)\ x\in\{-2;4\}$$ |
| $$(g)\ x\in\left\{\frac14\right\}$$ | $$(h)\ x\in\{-2;0\}$$ |
| $$(i)\ x\in\langle 7;\infty)$$ | $$(j)\ x\in\left\langle\frac85;\infty\right)$$ |
| $$(k)\ x\in\{0\}$$ | $$(l)\ x\in\left\{-\frac{4}{5};2\right\}$$ |
| $$(m)\ x\in\O$$ | $$(n)\ x\in\{0\}$$ |
| $$(o)\ x\in\left\{-9;1\right\}$$ | $$(p)\ x\in\{1;8\}$$ |
| $$(a)\ |x|+ |x+2|=4$$ | $$(b)\ |5-x|=|x-1|$$ | $$(c)\ |x+2|=4|x-3|$$ |
| $$(d)\ x+|x|=0$$ | $$(e)\ |x+3|=2|x-3|$$ | $$(f)\ |x-1|+|x+2|=3$$ |
| $$(g)\ |3x-2|+|2x+5|=7$$ | $$(h)\ |8-5x|=5x-8$$ | $$(i)\ |4-x|-|2x+3|=7$$ |
| $$(j)\ |2x+1|-|2x|+1=2x$$ | $$(k)\ |4x-7|+|6x+15|=18$$ | $$(l)\ |x-5|-|2x+11|=6$$ |
| $$(m)\ |x-3|=|3x+2|-1$$ | $$(n)\ |3x+4|=|2x-3|$$ | $$(o)\ 4|x+\sqrt{2}|-2|x-\sqrt{2}|=x$$ |
| $$(a)\ x\in\left \{ -3;1 \right \}$$ | $$(b)\ x\in\left \{ 3 \right \}$$ | $$(c)\ x\in\left \{ 2;\frac{14}{3} \right \}$$ |
| $$(d)\ x\in(-\infty ;0\rangle$$ | $$(e)\ x\in\left \{ 1;9 \right \}$$ | $$(f)\ x\in\left \langle -2;1 \right \rangle$$ |
| $$(g)\ x\in\left \{ 0;\frac{4}{5} \right \}$$ | $$(h)\ x\in\left \langle \frac{8}{5};\infty \right )$$ | $$(i)\ x\in\varnothing$$ |
| $$(j)\ x\in\left \{ 1 \right \}$$ | $$(k)\ x\in\left \{ -\frac{13}{5};-2 \right \}$$ | $$(l)\ x\in\left \{ -10;-4 \right \}$$ |
| $$(m)\ x\in\left \{ -3;\frac{1}{2} \right \}$$ | $$(n)\ x\in\left \{ -7;-\frac{1}{5} \right \}$$ | $$(o)\ x\in\left \{ -2\sqrt{2};-\frac{2\sqrt{2}}{5} \right \}$$ |
| $$(a)\ |2x-4|-|x+3|=2-|x-5|$$ | $$(b)\ |x-1|+3|2-x|=x-|1-x|$$ |
| $$(c)\ |x-4|+|2x-1|=|x|+3$$ | $$(d)\ 2|x|-|x+1|=3|x-1|-x$$ |
| $$(e)\ \big||x+1|-3\big|=1$$ | $$(f)\ \big||x-3|+1\big|=5$$ |
| $$(g)\ \big||x+1|+|x-1|\big|=2$$ | $$(h)\ \Big|\big||x|-1\big|-1\Big|=\frac{1}{2}$$ |
| $$(i)\ \Big|\big||x-1|-2\big|-3\Big|=1$$ | $$(j)\ \Big|\big||x-3|+2\big|-1\Big|=2$$ |
| $$(k)\ \frac{2+|x|}{3-|x|}=3$$ | $$(l)\ \left | \frac{x^2+4x-77}{x-7} \right |=2$$ |
| $$(a)\ x\in\left \{ 1;7 \right \}$$ | $$(b)\ x\in\left \{ 2 \right \}$$ |
| $$(c)\ x\in\left \langle \frac{1}{2};4 \right \rangle$$ | $$(d)\ x\in\left \{ \frac{4}{5};2 \right \}$$ |
| $$(e)\ x\in\left \{ -5;-3;1;3 \right \}$$ | $$(f)\ x\in\left \{ -1;7 \right \}$$ |
| $$(g)\ x\in\left \langle -1;1 \right \rangle$$ | $$(h)\ x\in\left \{ -\frac{5}{2};-\frac{3}{2};-\frac{1}{2};\frac{1}{2} \right \}$$ |
| $$(i)\ x\in\left \{ -5;-3;1;5;7 \right \}$$ | $$(j)\ x\in\left \{ 2;4 \right \}$$ |
| $$(k)\ x\in\left \{ \pm\frac{7}{4}\right \}$$ | $$(l)\ x\in\left \{ -13;-9\right \}$$ |
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