Answer
x = $-\frac{7}{45}$
Work Step by Step
$2x - \frac{1}{10} = \frac{2}{5} - \frac{1}{4}x - \frac{17}{20}$
Combine like terms:
$2x - \frac{1}{10} = -\frac{1}{4}x - \frac{9}{20}$
Add $\frac{1}{4}x$ to both sides:
$\frac{9}{4}x - \frac{1}{10} = -\frac{9}{20}$
Add $\frac{1}{10}$ to both sides:
$\frac{9}{4}x = -\frac{7}{20}$
Multiply both sides by $\frac{4}{9}$
$\frac{4}{9}(\frac{9}{4}x) = -\frac{7}{20}(\frac{4}{9})$
x = $-\frac{7}{45}$
