Решение:
- a) \(3(x+2) - x = 10\)
\(3x + 6 - x = 10\)
\(2x = 10 - 6\)
\(2x = 4\)
\(x = 2\) - B) \(4x + 3(x-7) = 5\)
\(4x + 3x - 21 = 5\)
\(7x = 5 + 21\)
\(7x = 26\)
\(x = \frac{26}{7}\) - д) \(5 - x = 4(x-3)\)
\(5 - x = 4x - 12\)
\(5 + 12 = 4x + x\)
\(17 = 5x\)
\(x = \frac{17}{5}\) - ж) \(7 - (2x+3) = 9\)
\(7 - 2x - 3 = 9\)
\(4 - 2x = 9\)
\(-2x = 9 - 4\)
\(-2x = 5\)
\(x = -\frac{5}{2}\) - и) \(\frac{1}{2}(x-4) + 3x = 5\)
\(\frac{1}{2}x - 2 + 3x = 5\)
\(\frac{1}{2}x + \frac{6}{2}x = 5 + 2\)
\(\frac{7}{2}x = 7\)
\(x = 7 \cdot \frac{2}{7}\)
\(x = 2\) - л) \(5x - (\frac{1}{2}x + 9) = 18\)
\(5x - \frac{1}{2}x - 9 = 18\)
\(\frac{10}{2}x - \frac{1}{2}x = 18 + 9\)
\(\frac{9}{2}x = 27\)
\(x = 27 \cdot \frac{2}{9}\)
\(x = 3 \cdot 2\)
\(x = 6\)
Ответ: a) x = 2; B) x = 26/7; д) x = 17/5; ж) x = -5/2; и) x = 2; л) x = 6.