Equation with denominators: Multiply by the common denominator ! !

Got it !

$\LARGE -\frac{1}{2}x + 3 = x - 7 $	$\LARGE S =\{ \frac{20}{3} \}$
$\LARGE \frac{3}{2}x + 4 = 2x - 5 $	$\LARGE S =\{ 18 \}$
$\LARGE 3x + 5 = \frac{7}{9} $	$\LARGE S =\{ -\frac{52}{27} \}$
$\LARGE \frac{x - 1}{4} - 5 = \frac{2x - 3}{2} + \frac{3}{4}$	$\LARGE S =\{ -6 \}$
$\LARGE \frac{2x + 3}{6} - \frac{x - 1}{6} = \frac{x + 2}{3} $+ 2	$\LARGE S =\{ -18 \}$
$\LARGE \frac{3 - 2x}{5} - \frac{x - 2}{10} = \frac{5x + 2}{2} - \frac{1}{5} $	$\LARGE S =\{ 0 \}$
$\LARGE \frac{1}{4}(x + 4) - \frac{1}{20}(x - 60) = \frac{2}{5}(x + 15)$	$\LARGE S =\{ -10 \}$
$\LARGE - 7x - 4 = 2(4 - \frac{1}{5}x) $	$\LARGE S =\{ - \frac{20}{11} \}$