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58. Please solve the following equation.        0.3 (x – 2) = 0.1 (4 + x)*1 point54.432.4

Question

58. Please solve the following equation.        0.3 (x – 2) = 0.1 (4 + x)*1 point54.432.4

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Solution

Claro, aquí tienes la solución paso a paso:

  1. Empezamos con la ecuación dada: 0.3(x2)=0.1(4+x) 0.3 (x - 2) = 0.1 (4 + x)

  2. Distribuimos los coeficientes en ambos lados de la ecuación: 0.3x0.6=0.14+0.1x 0.3x - 0.6 = 0.1 \cdot 4 + 0.1x 0.3x0.6=0.4+0.1x 0.3x - 0.6 = 0.4 + 0.1x

  3. Aislamos los términos con x x en un lado de la ecuación y los términos constantes en el otro lado: 0.3x0.1x=0.4+0.6 0.3x - 0.1x = 0.4 + 0.6 0.2x=1 0.2x = 1

  4. Dividimos ambos lados de la ecuación por 0.2 para resolver para x x : x=10.2 x = \frac{1}{0.2} x=5 x = 5

Por lo tanto, la solución de la ecuación es x=5 x = 5 .

This problem has been solved

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