Решебник по математике 6 класс Виленкин ФГОС Часть 1, 2 Часть 2. П. 5. Решение уравнений Задание 98

\[\boxed{\text{5.\ 98}}\]

\[\textbf{а)}\ \frac{7}{8}x + 4 = \frac{3}{4}x + 6\ \ \ \ | \cdot 8\]

\[7x + 32 = 6x + 48\]

\[7x - 6x = 48 - 32\]

\[x = 16.\]

\[\textbf{б)}\ \frac{1}{3}x + \frac{5}{6}x + 3 = \frac{3}{4}x - 2\ \ \ \ | \cdot 12\]

\[4x + 10x + 36 = 9x - 24\]

\[14x - 9x = - 24 - 36\]

\[5x = - 60\]

\[x = - 12.\]

\[\textbf{в)}\ \frac{1}{3}x + \frac{1}{9}x + 10 = x\ \ \ \ \ | \cdot 9\]

\[3x + x + 90 = 9x\]

\[4x - 9x = - 90\]

\[- 5x = - 90\]

\[x = 18.\]

\[\textbf{г)}\ 0,3x + 8,1 = 0,8x - 2,9\ \ \ \ | \cdot 10\]

\[3x + 81 = 8x - 29\]

\[3x - 8x = - 29 - 81\]

\[- 5x = - 110\]

\[x = 22.\]