Решение:
- 6) \(8 = 3(x-4) - x\)
\(8 = 3x - 12 - x\)
\(8 = 2x - 12\)
\(8 + 12 = 2x\)
\(20 = 2x\)
\(x = 10\) - г) \(3(x-1) + x = 2x\)
\(3x - 3 + x = 2x\)
\(4x - 3 = 2x\)
\(4x - 2x = 3\)
\(2x = 3\)
\(x = \frac{3}{2}\) - e) \(5(x+4) + x = 6\)
\(5x + 20 + x = 6\)
\(6x = 6 - 20\)
\(6x = -14\)
\(x = -\frac{14}{6} = -\frac{7}{3}\) - 3) \(3(x-7) - 6x = -x\)
\(3x - 21 - 6x = -x\)
\(-3x - 21 = -x\)
\(-21 = -x + 3x\)
\(-21 = 2x\)
\(x = -\frac{21}{2}\) - к) \(2(x + \frac{3}{5})\) - это выражение, а не уравнение.
- M) \(-2(\frac{1}{3}x + 7) = -21\)
\(-\frac{2}{3}x - 14 = -21\)
\(-\frac{2}{3}x = -21 + 14\)
\(-\frac{2}{3}x = -7\)
\(x = -7 \cdot (-\frac{3}{2})\)
\(x = \frac{21}{2}\)
Ответ: 6) x = 10; г) x = 3/2; e) x = -7/3; 3) x = -21/2; M) x = 21/2.