\[\boxed{\text{636\ (636).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[\textbf{а)}\ \frac{3x + 5}{5} - \frac{x + 1}{3} = 1\ \ \ \ \ | \cdot 15\]
\[3 \cdot (3x + 5) - 5 \cdot (x + 1) = 15\]
\[9x + 15 - 5x - 5 = 15\]
\[4x = 15 - 10\]
\[4x = 5\]
\[x = \frac{5}{4}\]
\[x = 1,25\]
\[Ответ:x = 1,25.\]
\[\textbf{б)}\ \frac{2p - 1}{6} - \frac{p + 1}{3} = p\ \ \ \ \ | \cdot 6\]
\[2p - 1 - 2 \cdot (p + 1) = 6p\]
\[2p - 1 - 2p - 2 - 6p = 0\]
\[- 6p = 3\]
\[p = 3\ :( - 6) = - \frac{3}{6} = - \frac{1}{2}\]
\[p = - 0,5\]
\[Ответ:p = - 0,5.\]
\[\textbf{в)}\ \frac{6y - 1}{15} - \frac{y}{5} = \frac{2y}{3}\ \ \ \ \ | \cdot 15\]
\[6y - 1 - 3y = 5 \cdot 2y\]
\[3y - 1 - 10y = 0\]
\[- 7y = 1\]
\[y = - \frac{1}{7}\]
\[Ответ:y = - \frac{1}{7}.\]
\[\textbf{г)}\ \frac{12 - x}{4} - \frac{2 - x}{3} = \frac{x}{6}\ \ \ \ \ \ | \cdot 12\]
\[3 \cdot (12 - x) - 4 \cdot (2 - x) = 2x\]
\[36 - 3x - 8 + 4x - 2x = 0\ \]
\[- x = - 28\]
\[x = 28\]
\[Ответ:x = 28.\]