Вариант 1. Решаем уравнения.
Краткое пояснение: Необходимо упростить уравнения, перенести известные значения в одну сторону, а неизвестные в другую, и решить относительно x.
Пошаговое решение:
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\(4x + 9 - 6x = 0\)
\(-2x = -9\)
\(x = \frac{9}{2} = 4.5\)
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\(-5x - 10 = -7x\)
\(2x = 10\)
\(x = 5\)
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\(3 + 4x - 6x - 8 = 0\)
\(-2x = 5\)
\(x = -\frac{5}{2} = -2.5\)
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\(4 - 5x = 3x + 10\)
\(-8x = 6\)
\(x = -\frac{6}{8} = -\frac{3}{4} = -0.75\)
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\(10(x - 4) = 9\)
\(10x - 40 = 9\)
\(10x = 49\)
\(x = \frac{49}{10} = 4.9\)
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\(4(x - 8) = -6\)
\(4x - 32 = -6\)
\(4x = 26\)
\(x = \frac{26}{4} = \frac{13}{2} = 6.5\)
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\(2(x - 3) = 5\)
\(2x - 6 = 5\)
\(2x = 11\)
\(x = \frac{11}{2} = 5.5\)
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\(5(x + 2) = 3\)
\(5x + 10 = 3\)
\(5x = -7\)
\(x = -\frac{7}{5} = -1.4\)
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\(3(x + 5) = -9\)
\(3x + 15 = -9\)
\(3x = -24\)
\(x = -8\)
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\(6(x + 2) = -12\)
\(6x + 12 = -12\)
\(6x = -24\)
\(x = -4\)
Ответы: 1) 4.5, 2) 5, 3) -2.5, 4) -0.75, 5) 4.9, 6) 6.5, 7) 5.5, 8) -1.4, 9) -8, 10) -4