1) $|9x+7|-2x=3$
$⇔|9x+7| = 3+2x$
$⇔9x+7=3+2x,9x+7=-3-2x$
$⇔x=\dfrac{-4}{7},x=\dfrac{-10}{11}$
2) $|11x+7|=|60x+5|$
$⇔11x+7=60x+5,11x+7=-60x-5$
$⇔x=\dfrac{2}{49},x=\dfrac{-6}{35}$
3) $|9x|+7x=3x-3$
$⇔|9x|=-3-4x$
$⇔9x = 4x+3,9x=-3-4x$
$⇔x=\dfrac{3}{5},x=\dfrac{-3}{13}$