ACT 1: Algebra: Solve Absolute-value equations

$Q_{1}:$ For what values of $x$ is $3\left | x+5 \right | -5 = 7$?

$Q_{2}:$ For what values of $x$ is $\left | 2x-3 \right | -4 = 7$?

$Q_{3}:$ For what values of $x$ is $\left | x-2 \right | =17$?

$Q_{4}:$ For what values of $r$ is $\left | \frac{r-7}{5} \right | =4$?

$Q_{5}:$ For what values of $m$ is $\left | 2m+5 \right | =23$?

$Q_{6}:$ For what values of $y$ is $\left | y-3 \right | =1$?

$Q_{7}:$ For what values of $t$ is $t^2=49$?

$Q_{8}:$ For what values of $x$ is $5-2\left | 3x-7 \right | =-20$?

$Q_{9}:$ For what values of $u$ is $2\left | 3u-6 \right | -4=8$?

$Q_{10}:$ For what values of $t$ is $-\left | 8t-5 \right | =8$?

$Q_{11}:$ For what values of $z$ is $\left | z-5 \right | =\left | z-1 \right |$?

$Q_{12}:$ For what values of $z$ is $\left | 2z-5 \right | =\left | 4z-3 \right |$?

$Q_{13}:$ For what values of $y$ is $\frac{\left | 3y-2 \right |}{\left | y \right |}=4$?

$Q_{14}:$ For what values of $z$ is $\left | -10z+20 \right | =0$?

$Q_{15}:$ For what values of $c$ is $\left | -c^2+5 \right | =4$?

$Q_{16}:$ For what values of $x$ is $\left | x^2-4 \right | =4$?

$Q_{17}:$ For what values of $x$ is $\left | x^2+4 \right | =4$?

$Q_{18}:$ For what values of $x$ is $\left | x+15 \right | =3$?

$Q_{19}:$ For what values of $x$ is $\left | x^{2}+12 \right | =48$?

$Q_{20}:$ For what values of $x$ is $\left | x^{2}+12 \right | =\left | 3x^{2}-8 \right |$?

$Q_{21}:$ For what values of $x$ is $\left | x+12 \right | =2$?

$Q_{22}:$ For what values of $x$ is $\left | x+4 \right | =2x$?

$Q_{23}:$ For what values of $x$ is $\left | 7x-5 \right | -3=11$?

$Q_{24}:$ For what values of $q$ is $\left |q\right | =101$?

$Q_{25}:$ For what values of $q$ is $\left |2q-4\right | =0$?

$Q_{26}:$ For what values of $q$ is $\left |7q-14\right | =21$?